Question

Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet.

1.5 feet

2 feet

3 feet

4 feet

Answer 1

@jim_thompson5910

Answer 2

use volume of pyramid formula

Answer 3

1/2bh ?

Answer 4

\[V = \dfrac{1}{3}Bh\]

\(B \) = Area of base
\(h\) = height of pyramid

Answer 5

12 = 1/3 * 3 * h

Answer 6

its a square pyramid - that means the base is a square

Answer 7

and you're given that the length of square is 3 units
so whats the Area of square whose side is 3 units ?

Answer 8

3 * 3 = 9 ?

Answer 9

Yes !

so \(B\) = 9

Answer 10

plug that in the formula ans solve h

Answer 11

4 ?

Answer 12

\[V = \dfrac{1}{3}Bh\]

\[12 = \dfrac{1}{3}(9)h\]

\[12 = 3h\]

Answer 13

yes, h = 4 !

Answer 14

thank you!

Answer 15

yw