Questions on Geometry: Area and Surface Area answered by real tutors!

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Question 1062742: One platy requires 5 liters of water to live healthfully. What is the maximum number of healthy platies that can be kept in a rectangular aquarium that measures 30 cm by 40 cm by 30 cm?
(Hint: 1 cubic centimeter=1 mL, 1 L=1000 mL)
The maximum number of healthy platies that can be kept in the aquarium is __________.
Enter the whole number that correctly fills in the blank in the previous sentence, like this: 42

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Question 1062744: A regular decagon is inscribed inside a circle. The perimeter of the decagon is 50 units.
A: What is the approximate measure of the radius (rounded to the nearest hundredth of a unit)?
B: What is the approximate area of the circle (rounded to the nearest whole square unit)?
Select only one answer each for parts A and B.
A: 8.09
A: 2.63
A: 7.69
A: 4.25
B: 22
B: 186
B: 206
B: 57

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Question 1062768: The volume of cube is 1000cubic cm.find its total surface area.
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Question 1062786: Amy covered an old garden with gravel. She bought 500 kg of gravel and it covered a plot that measured 12 m by 3 m. How many kilograms of gravel did she use for each square meter? Round to the nearest tenth.
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Question 1062786: Amy covered an old garden with gravel. She bought 500 kg of gravel and it covered a plot that measured 12 m by 3 m. How many kilograms of gravel did she use for each square meter? Round to the nearest tenth.
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Question 1062789: A regular 16-gon is inscribed inside a circle, as shown in the figure. Sixteen congruent isosceles triangles are created by connecting the center of the circle to each vertex of the 16-gon. The base length of one of the isosceles triangles is b, and the height is h.
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What is the area of the 16-gon?
A16-gon= __________ 1/2bh
*[illustration decagon.png]

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Question 1062790: A regular decagon is inscribed inside a circle. The circle has a radius of 6 units.
A: What is the approximate measure of the apothem of the decagon (rounded to the nearest hundredth of a unit)?
B: What is the approximate area of the decagon (rounded to the nearest whole square unit)?
Select only one answer each for parts A and B.
A: 3.71
A: 1.85
A: 5.71
A: 3.90
B: 111
B: 106
B: 113
B: 75

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Question 1062765: Let ABCD be a convex quadrilateral with area S square units, and let P, Q, R, and S be the midpoints of sides AB, BC, CD, and DA respectively. Find the sum of the areas of triangles PBQ and RDS.
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Question 1062172: Sarah is renovating her kitchen and has decided to use tiles on her countertop which is 83cm by 203cm. The tiles are octagonal and square in a pattern where four octagons around one square. The square tiles are 3cm along one side.
(a) Estimate the number of tiles they will need to cover the countertop.
(b) Each square tile costs $0.55 and each octagonal tile costs $0.78. Estimate the cost of the tiles to cover the countertop.

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Question 1062887: One platy requires 5 liters of water to live healthfully. What is the maximum number of healthy platies that can be kept in a rectangular aquarium that measures 30 cm by 40 cm by 30 cm?
The maximum number of healthy platies that can be kept in the aquarium is __________.

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Question 1062887: One platy requires 5 liters of water to live healthfully. What is the maximum number of healthy platies that can be kept in a rectangular aquarium that measures 30 cm by 40 cm by 30 cm?
The maximum number of healthy platies that can be kept in the aquarium is __________.

Click here to see answer by Alan3354(69443) About Me 

Question 1062886: A regular decagon is inscribed inside a circle. The perimeter of the decagon is 50 units.
A: What is the approximate measure of the radius (rounded to the nearest hundredth of a unit)?
B: What is the approximate area of the circle (rounded to the nearest whole square unit)?
Select only one answer each for parts A and B.
A: 8.09
A: 2.63
A: 7.69
A: 4.25
B: 22
B: 186
B: 206
B: 57

Click here to see answer by Boreal(15235) About Me 
Question 1062886: A regular decagon is inscribed inside a circle. The perimeter of the decagon is 50 units.
A: What is the approximate measure of the radius (rounded to the nearest hundredth of a unit)?
B: What is the approximate area of the circle (rounded to the nearest whole square unit)?
Select only one answer each for parts A and B.
A: 8.09
A: 2.63
A: 7.69
A: 4.25
B: 22
B: 186
B: 206
B: 57

Click here to see answer by ikleyn(52781) About Me 

Question 1062980: A contractor is examining a set of blueprints for a new home. He determines that 1 inch on the blueprint represents 20 feet in real life.
If a bedroom measures 0.5 inches by 0.6 inches on the blueprints, what will be its measurements in real life?
The actual dimensions of the bedroom are __________ feet by __________ feet.

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Question 1062981: A triangular bench is modeled by △ABC, in which m∠C=50°, AC=3.5, AB=2.81, and BC=1.4.
https://cds.flipswitch.com/tools/asset/media/576477
Wayra must buy enough fabric to cover the entire bench.
Assuming the given measurements are in yards, how much fabric must he buy?
Approximately __________ square yards of fabric are needed.

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Question 1063100: Valeria is filling her new fish tank with water. The tank measures 36 inches by 13 inches by 24 inches. She has a 3-gallon bucket that she can fill at the sink and then pour into the tank.
What is the minimum number of times Valeria needs to fill (or partially fill) the 3-gallon bucket in order to completely fill her fish tank? (Hint: There are 231 cubic inches in a gallon.)
She needs to fill up the 3-gallon bucket at least __________ times in order to completely fill her tank.

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Question 1063169: one end of a glass prism is in the shape of a triangle with a height that is 1 inch longer than twice the base. if the area of the triangle is 39 square inches, then how long are the base and height

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Question 1063101: The Great Pyramid of Giza has a length and width of 230.4 meters, and it has a height of 138.8 meters. A full-scale model of the pyramid will be built, and materials for the model will be delivered in trucks that measure 13 meters by 8 meters by 40 meters.
How many truckloads will be needed to deliver all of the materials for the model?
At least ___________ truckloads will be needed to deliver all of the materials.

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Question 1063330: Floor tiles are 25cm square. How many tiles will be needed for a rectunglar lawn 12cm long and 10cm wide.find the total cost at the rate of RS 8 per tile.
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Question 1063362: area of an inscribed semi circle in an equilateral triangle

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Question 1063474: the slate of a rectangular pool table has a width of 4 feet, a length of 8 feet, and a thickness of 2 inches.
a) find the volume of slate removed for each pocket.
b) find the volume of the slate in cubic feet
c) If 1ft3 of slate weighs 166.6 lbs, what is the weight of the slate?

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Question 1063581: i have a digram with a square the length of each side is 10cm , and it is asking me to calculate the size of the reflex angle AED with the angle is 7.1 cm from A to E and fromE to D it is 45 degrees can you please instruct me how to get the answer thank you

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Question 1063663: a piece of gold wire 10 cm long is made into a circle. the circumference of the circle is equal to the length of the wire. show that the area of the circle is exactly 25/pi cm squared
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Question 1063764: If your whole perimeter is 77 feet and 6 inches what is the area
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Question 1063929: If the area of the square above is 144, what is the value of X?
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Question 1063880: What is the height of the cylinder if the lateral surface area is 144pie square feet, and the radius is 6 feet? show work>

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Question 1063880: What is the height of the cylinder if the lateral surface area is 144pie square feet, and the radius is 6 feet? show work>

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Question 1063957: A conical hole is drilled in a circular cylinder of height 12cm and base radius 5cm. The height and base radius of the cone are also the same. Find the total surface area of the remaining solid

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Question 1064000: Figure 1 is a square with a side length of 5 units while Figure 2 is a triangle with sides of 7, 9, and 10 units. A perpendicular segment from the side that measures 9 units is drawn to the opposite vertex, and has a length of 6.8 units.
https://cds.flipswitch.com/tools/asset/media/607761
Which statements about these two figures are true?
There is more than one correct answer choice. Select all correct answer choices.
Figure 2 has an area greater than the area of Figure 1.
Figure 2 has an area of 30.6 units2.
Figure 2 has an area of 23.8 units2.
Figure 1 has an area of 20 units2.
Figure 1 has an area of 25 units2.
Figure 1 has an area greater than the area of Figure 2.

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Question 1064006: Parallelogram EFGH has vertices at E(1,3), F(0,2), G(4,0), and H(5,1).
https://cds.flipswitch.com/tools/asset/media/607814
The area of the parallelogram is _____ units2.

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Question 1064003: Rectangle EFGH has vertices at E(2,3), F(−2,5), G(−3,3), and H(1,1).
https://cds.flipswitch.com/tools/asset/media/607809
The area of rectangle EFGH is _____ units.

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Question 1064029: the perimeter of an equilateral triangle is 21.33 cm what is s the length of each side of the triangle
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Question 1063960: A conical hole is drilled in a circular cylinder of height 12cm and base radius 5cm . The height and base radius of the cone are also the same . Find the total surface area of the remaining solid
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Question 1064074: ΔABC has vertices at A(8,3), B(7,5), and C(2,4). Point D, located on AC¯ at approximately (6.7,3.22), is the intersection of the altitude drawn from B to AC¯.
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The area of △ABC is _____ units2.

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Question 1064074: ΔABC has vertices at A(8,3), B(7,5), and C(2,4). Point D, located on AC¯ at approximately (6.7,3.22), is the intersection of the altitude drawn from B to AC¯.
https://cds.flipswitch.com/tools/asset/media/601653
The area of △ABC is _____ units2.

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Question 1064068: Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
https://cds.flipswitch.com/tools/asset/media/601671
What is the area of the square when rounded to the nearest whole number?

18 units2
19 units2
17 units2
16 units2

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Question 1064072: Rectangle EFGH has vertices at E(7,7), F(1,5), G(2,2), and H(8,4).
https://cds.flipswitch.com/tools/asset/media/601664
The area of rectangle EFGH is _____ units2.

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Question 1064248: If the length of a square is increased by 100%, how the area of the square is increased by 400%? (please explain the meyhod)

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Question 1064064: ΔABC has side lengths, in units, of AB=6, BC=7, and AC=10. The segment BD is an extension of side BC such that AD¯⊥CD¯ and AD≅5.9.
https://cds.flipswitch.com/tools/asset/media/601611
The area of △ABC is approximately _____ units2.

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Question 1064622: find the total area of card board used in making a match box,complete with the sliding portion 4cm long,2.5cm wide and 1.2cm deep.(ignore the thiknes of card board)?

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Question 1064660: oxyz is a tetrahedron whose faces are identical equilateral triangles of sides 8cm each. find its slant height?
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Question 1065016: A solid metallic sphere of diameter 28 cm is melted and number of cones formed by the diameter 4 2/3 cm and height 3 cm .find the no. Of cones formed .......

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Question 1065263: I have two questions involving solving the area of a rectangle.
Question #1:
The area of the rectangle is 32a^3b^4 square units. Find the width of the rectangle.
The length of the rectangle is 4a^2b.
What is the width of the rectangle?
Question #2 correlates to question 1.
The length of a table is three times as long as its width. Suppose the width of the table is 5x+2. What is an algebraic expression for the length of the table?

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Question 1065281: Consider a square with side of length​ s, diagonal of length​ d, perimeter P and area A.
Write P as a function of s in simplified form.

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Question 1065281: Consider a square with side of length​ s, diagonal of length​ d, perimeter P and area A.
Write P as a function of s in simplified form.

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