Question

.

What is the volume of the square pyramid with base edges 8 in. and height 12 in?




572 in3


256 in3


768 in3


384 in3

Answer 1

The volume is 356 inches

Answer 2

The volume is 356
`in^3` , which agrees with the second answer option listed.

Explanation:

Recall that the volume of a pyramid is the product of the area of its base(B) times the pyramid's height (h), divided by three:

`V=B*(h)/(3)`

For our case, the area of the base "B" is the area of a square of side = 8 inches. That is the area B is:

`B=(8 \,in)^2=64\,in^2`

Now we can include this value and the value of the pyramid's height (h=12 in) in the formula for the volume to give the answer:

`V=B*(h)/(3)=64\,in^2\,(12\,in)/(3) =256\,in^3`