Question

What is the volume of this square pyramid? *view photo*

A) 384 cubic cm
B) 288 cubic cm
C)192 cubic cm
D) 96 cubic cm

Answer 1

The volume of the given square pyramid is A) 384 cubic cm.

Explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and
`(1)/(3)`.

The volume of a square pyramid,
`V=a^(2) (h)/(3).`

Step 2:

From the given diagram, the base edge is the length of the four base edges which is 12 cm in this pyramid. a = 12 cm.

The height of the pyramid is from the base to the top, h = 8 cm.

The volume of a square pyramid,
`V=a^(2) (h)/(3) =(12^(2) )((8)/(3) ) = (144 )((8)/(3)).`

`(144 )((8)/(3)) = (1,152)/(3) = 384.`

So the volume of the given square pyramid is A) 384 cubic cm.