Tutors Answer Your Questions about Surface-area (FREE)
Question 1024685: A man-hole on a drainage pipe is covered with an iron-plate, which is of the shape of a square of side
12.5 cm. From this iron-plate, a circular disc of diameter 7 cm is painted in black colour. The remaining
part is painted with blue colour paint. Find the blue paint required, if 1cm2 requires 0.8 g of paint. (Use
22
7
p 5 )
Click here to see answer by macston(5194)   |
Question 1025585: The diagram shows a rectangle that has been dissected into nine non-overlapping squares. Given that the width and the height of the rectangle are relatively prime positive integers (meaning two integers whose largest common divisor is 1), find the perimeter of the rectangle.
IMAGE: CONVERT FROM asympotote
[asy]
pair A,B,C,D,EE,F,G,H,I,J,K,L,M,NN,O,P,Q,R,SS,T;
real a,b;
a=2;
b=5;
A=(0,0);
D=(8*a+4*b,0);
B=rotate(90)*D;
F = (B+D);
T = B + (5*a + 3*b,0);
K = F - (a,0);
J = K + (0,a);
L = J + (a,0);
EE = L - (0,b);
C = B + (0,5*a + 3*b);
H = -B +T+C;
G = T + (0,2*a+b);
I = -T+ G + K;
M = EE + (b,0);
NN = EE + (b,b);
O = I + NN - J;
P = O + H - G;
SS = D + (4*a + 5*b,0);
R = SS + EE - D;
Q = C + SS;
draw (A--SS--Q--C--A);
draw (D--F--B);
draw(T--H);
draw (G--I--K);
draw(F--L--J);
draw(L--NN--O--I);
draw(O--P);
draw(EE--M--NN);
draw(M--R);
[/asy]
Click here to see answer by ikleyn(52786)  |
Question 1025584: A rectangle is made out of unit squares as shown below. Find the total area in square units of the red shaded region.
IMAGE: CONVERT FROM asympotote
[asy]
fill((0,0)--(0,5)--(1,5)--(5,0)--cycle,red);
fill((7,0)--(1,5)--(7,5)--cycle,red);
for (int i=0;i<=7;i+=1) {
draw((i,0)--(i,5));
};
for (int j=0;j<=5;j+=1) {
draw((0,j)--(7,j));
};
draw((7,0)--(1,5)--(5,0));
[/asy]
Click here to see answer by ikleyn(52786) |
Question 1025708: A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container.
If the water level in the cube-shaped container rises 252 units. Find the length of a side of the cube-shaped container.
Click here to see answer by ikleyn(52786) |
Question 1026227: Three circles of radius 1 unit fit inside a square such that the two outer circles touch the middle
circle and the sides of the square, as shown. Given the centres of the circle lie on the diagonal
of the square, find the exact area of the square.
http://imgur.com/2wZdTkq
Please incldue all working out. Thanks
Click here to see answer by josgarithmetic(39617) |
Question 1026539: a square green rug has a blue square in the center. the side length of the blue square is x inches. the width of the green band that surrounds the blue square is 6 inches. what is the area of the green band?
(x+12)(x+12)-x^2
x^2 + 2(12)(x)+12^2-x^
=24x+144
When I check my answer in the back of my Algebra book, my answer is wrong. Could some one please explain to me what am I doing wrong? Thank you!
Click here to see answer by josgarithmetic(39617) |
Question 1026545: How much paint is needed for the inside and outside painting of 300 buckets having a shape of a frustum of a cone, if the diameter of the bases of the buckets are 32 in. and 38 in. and its height is 45 in. ?Consider 5% waste and a 1 liter per 500 sq. in for paint consumption.
Click here to see answer by mananth(16946)  |
Question 1026754: A piece of wire 100 cm long is to be cut into 2 pieces, and those 2 pieces are each to be bent to make a square. The area of one square is to be 225 cm^2 (cm squared) greater than the other. What is the sum of the areas of the two squares?
The answer is 353 cm squared, but how did they end up with such answer? The computation is one that I do not get. How can the larger square end up as 25-x and etc?
Click here to see answer by mananth(16946) |
Question 1026835: A circular tin is placed on a square. If a side of the square is congruent to the diametre of the tin,calculate the percentage of the squre which remains uncovered. Give your answer correct to 2 decimal places.
Click here to see answer by mananth(16946) |
Question 1027129: A roller is made by taking a cylinder of radius 3 inches and height 8 inches and removing a
cylinder with radius 2 inches and the same height. The roller is shown on its side in the
figure. What is the volume of the roller?
Click here to see answer by KMST(5328)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840
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