Exercise 45 Page 569

Let's begin with recalling that the volume of a rectangular solid is a product of its dimensions. Therefore, we can write that the product of x,y and z is equal to 16x.

xyz=16x

DivEqn

.LHS /x.=.RHS /x.

yz=16

We are given that each dimension is an integer. This means that the minimum value of y is 1. By substituting the minimum possible value of y, we can evaluate the maximum possible value of z.

yz=16

Substitute

y= 1

1* z=16

MultByOne

a * 1=a

z=16

The greatest possible value of z is 16. This corresponds with answer B.