Question

Cabrera is designing awards in the shape of a square pyramid each edge of the base measures 7 inches and the volume is 171.5 cubic inches what is the height in inches of an award?

Answer 1

h = 3.5 in

Explanation:

The formula for the volume of a square pyramid is

V = (1/3)(area of base)(height).

Here the base area is (7 in)², or 49 in², and the volume is 171.5 in³.

Substituting these values into the formula above yields:

171.5 in³ = (49 in²)(h), so that

171.5 in³

h = ---------------- = 3.5 in

49 in²