Exercise 3 Page 656

We are given a square pyramid with a volume of 1024 cubic centimeters and we know that the base edge is 16 centimeters. We want to find the height of this pyramid. Let's first recall the formula for the volume of a pyramid. V=1/3BhHere, B is the area of the base, and h is the height of the pyramid. Since the base is a square, the base's area B is a square of the base edge. Let's find this area! B = 16^2 = 256 The base's area is 256 square centimeters. Our pyramid has a volume of 1024 cubic centimeters. Let's substitute this values into the formula for the volume of a pyramid. That way, we will get an equation for h. Then, let's solve this equation!

V=1/3Bh

SubstituteII

V= 1024, B= 256

1024=1/3( 256)h

MultEqn

LHS * 3=RHS* 3

3 * 1024 = 256h

Multiply

Multiply

3072 = 256h

DivEqn

.LHS /256.=.RHS /256.

3072/256 = h

CalcQuot

Calculate quotient

12 = h

RearrangeEqn

Rearrange equation

h = 12

The height is 12 centimeters.