Answer: 4 ft^2
Step-by-step 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