Tutors Answer Your Questions about Surface-area (FREE)
Question 1152543: The frustum has regular hexagon bases. The upper base measures 13 ft. on a side and the lower base measures 29 ft. on a side. The altitude of the frustum is 19 ft. Find the mass of the frustum, if its density is 99 lbs. per cu. ft.
Click here to see answer by Alan3354(69443)   |
Question 1153614: A fuel storage tank consists of a cylinder with a radius 1.25m and length 7.20m, with hemispheres of radius 1.25m at each end. Determine the cost to cover the tank with 2 coats of paint. One can of paint costs $34.99 and covers an area of 29m2
Click here to see answer by Alan3354(69443) |
Question 1153623: The owners of a house want to convert a stairway leading from the ground level to their back porch into a ramp. The porch is 3 feet off the ground, and due to the building regulations, the ramp must start 12 feet away from the base of the porch. How long will the ramp be? Round answer to two decimal places.
Please show steps in formula form.
Thank you in advance,
SYL
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1153703: The polygon below represents a garden in Andrea’s yard. Each unit on the coordinate grid is 1 foot. If Andrea wants to build a fence to enclose the garden, how many feet of fencing does she need? Round answer to nearest foot.
http://prntscr.com/recbb6
Click here to see answer by Boreal(15235)  |
Question 1153703: The polygon below represents a garden in Andrea’s yard. Each unit on the coordinate grid is 1 foot. If Andrea wants to build a fence to enclose the garden, how many feet of fencing does she need? Round answer to nearest foot.
http://prntscr.com/recbb6
Click here to see answer by MathLover1(20850)  |
Question 1153703: The polygon below represents a garden in Andrea’s yard. Each unit on the coordinate grid is 1 foot. If Andrea wants to build a fence to enclose the garden, how many feet of fencing does she need? Round answer to nearest foot.
http://prntscr.com/recbb6
Click here to see answer by MathTherapy(10552)  |
Question 1155270: Sam, a modern artist, has submitted a sketch of a proposed piece to a client who wants s simple, clean - lined decoration to place in the lobby of a new office building. Sam’s sketch shows an eight - foot column whose cross section is a right triangle, so the column has three plane surfaces. The client commissions Sam to do the work, but stipulates that the hypotenuse of the triangle must be 40 inches and triangular cross - sectional area is maximized. What dimensions should be used for two sides of the right triangle if these stipulations are to be met? Recall that the area of a right triangle is one-half the products of the lengths of the sides, and the sum of the squares of the sides equals the square of the hypotenuse. State your answer to the nearest one - hundredth of an inch.
Click here to see answer by ikleyn(52781)  |
Question 1155281: A cattle rancher would like to fence an area of 180 square miles by first fencing the whole area and then running a fence across the middle from front to back. The rancher wants the exterior fence to be stronger than the interior fence and so will use fencing that costs $6 per mile along the outer perimeter and fencing that costs $3 per mile down the middle. What dimensions should the area have so that the total cost of fencing is minimized? What is this minimum cost?
Click here to see answer by ikleyn(52781) |
Question 1155324: A metal box with a square bottom and top is to contain 768 cubic centimeters. The bottom material must be stronger than the rest of the box and costs four cents per square centimeter. Material for the sides and tops is less expensive and costs two cents per square centimeter. Find the dimensions of the box that satisfy the volume requirements at a minimum cost of materials. What is this minimum cost?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1155384: A stone is dropped off a 256 ft cliff. The height of the stone above the ground is given by the equation h=-16t^2+256, where h is the stone's height in feet, and t is the time in seconds after the stone is dropped.
Find the time required for the stone to hit the ground.
Click here to see answer by josgarithmetic(39617) |
Question 1155393: A box with a square bottom and no top is to be made to contain 100 cubic inches. Bottom material costs five cents per square and side material costs two cents per square inch. Find the cost of least expensive box that can be made.
Please, help out me out.
Click here to see answer by ikleyn(52781) |
Question 1155489: A rectangular cardboard poster is to have a 96 - square - inch rectangular section of printed material, a 2 - inch border top and bottom, and a 3 - inch border on each side. Find the dimensions and area of the smallest poster that meets these specifications. (Note; Let x and y be the dimensions of the 96 - square - inch area.)
Click here to see answer by ikleyn(52781) |
Question 1155483: A box with a square bottom and no top is to be made from a 6 by 6 - inch piece of material by cutting equal sized squares from the corners and then turning up the sides. What should the dimensions of the squares be if the box is to have maximum volume?
Click here to see answer by josgarithmetic(39617) |
Question 1155483: A box with a square bottom and no top is to be made from a 6 by 6 - inch piece of material by cutting equal sized squares from the corners and then turning up the sides. What should the dimensions of the squares be if the box is to have maximum volume?
Click here to see answer by ikleyn(52781) |
Question 1155539: cylindrical storage tank is to contain V=16,000π cubic feet (about 400,000 gallons). The cost of the tank proportional to its area, so the minimal - cost tank will be the one with minimum area. The volume (V) of cylinder of radius r and height h is πr^2, plus the side area, 2πrh. Find the dimensions, r and h, of the minimal - area tank.
Click here to see answer by ikleyn(52781) |
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