Question

A rectangular pyramid has a volume of 1.512 in 3, a height of 12 in., and a base length of 21 in. What is the width of its base?

Answer 1

Answer:

18 inches

Step-by-step explanation:

Volume of a pyramid is:

V = ⅓ Ah

where A is the area of the base, and h is the height of the pyramid.

The base is a rectangle.  Area of a rectangle is width times length, so:

V = ⅓ wlh

Plugging in values and solving:

1512 = ⅓ w (21) (12)

w = 18

The width of the base is 18 inches.