anyone good at geometry. i need some help. . i need to know how to do them. i dont understand. i have a test?

Question

1. finding the surface area of a right prism. when the height is 24m and the length is 20 and width is 18.

2. finding the surface are of the lateral faces on a regular pyramid, when the height is 12 and the base is 14. the answer could be a. 532 b. 336 c. 84 d. 168


3 Aleta is building a square sandbox with sides 7 ft long. she wants to put sand 1.15 ft deep in the box. how many cubic feet of sand should alexa order.

4. finding the volume of a right prism with height of 10 and length of 11 and the width of 15. the base is a square i dont know if that matters.

5 a pyramid has a rectangle base and faces that are isoscleses triangles/ find its volume. the height is 8, length is 6 and width is 8/ the answer could be. a. 128 b. 384 c./ 160 d/ 711.96


6. a company has a spherical storage tank which is in need of painting. th radius of the tank is 35.4. the type of paint used will cover 10 ft per gallon. how many gallons of paint will be needed.?

Answer 1

S =2(lw+lh +wh) where h= height, l=length, and w = width

You must state what the shape of the base is (a triangle, a square, a pentagon,etc). The base has an area and you say it is 14. If it were a square, then a side would be sqrt(14). Then we could find the slant height by using the Pythagorean theorem. The slant height is neede to compute the area of one of the lateral faces. This problem cannot be solved as stated.

V= 7*7*1.15= 56.35 ft^3

Sorry, that is impossible for the base to be a square and have different values for L,W, and H.
The volume of the prism you stated is 10*11*15.

Volume = 1/3Bh
B = 8*6 =48
So V= 1/3(48)(8) = 16*8 = 128 ft^3

s = 4*pi*r^2
s = 4*3.14*35.4^2 = 15,747.67 ft^2
I assume you mean that a gallon of paint will cover 10 square feet. If so the 1574.77 gallons of paint are required. if you meant 1 gallon would cover a 10 foot square, then only
157.48 gallons would be required.

You should state your problems more accurately if you want to get accurate answers.

Answer 2

im not sure about the surface area ones...but hte formula to find volume is length times width times height...lwh