Question

find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
33.3 ft3
400 ft3
1,200 ft3
600 ft3

Answer 1

Volume = (Area of the base)*(Height)/3

Answer 2

It may help to draw a picture

Answer 3

so the slant height is more than the height itself?

Answer 4

That is correct and if h is the height, s is the slant height and b is the base (of one of the triangles), then

b^2 + h^2 = s^2

Answer 5

so if b^2=100 and s^2=169 then h^2 would equal the difference?

Answer 6

b is actually 5, not 10

b^2 = 25

s^2 = 169

so h^2 = s^2 - b^2

h^2 = 169 - 25

h^2 = 144

h = ???

so you are correct in saying "h^2 would equal the difference"

Answer 7

so h equals 12?

Answer 8

yep

Answer 9

now use the formula

Volume = (Area of the base)*(Height)/3

Answer 10

what did you get for the area of the base

Answer 11

40

Answer 12

Base is a square