Question

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

Answer 1

square pyramid
V=b² h/3------------ >12=9*h/3------------ >h=12/3---- >h=4 

 the answer is h=4 feet

Answer 2

Answer: 4 ft^2

Explanation:

1) Data:

a) Figure: square pyramid
b) Volume: 12 ft^3
c) base lenght: 3 ft

2) Formulas:

The formula for the volume of a pyramid is:

Volume = (1/3) * area of the base * height

The formula for the area of the base is:

area of the base = (base length)^2

3) Solution

From the volume formula: height = 3 * volume / area of the base

area of the base = (3 ft)^2 = 9 ft^2

height = 3 * 12 ft^3 / 9 ft^2 = 4 ft^2