Question

The volume of a rectangular box is 2x(2x + 5)(2x – 3). (Drawing is not to scale.)

Which statement about the volume of the box is true?


A.
The volume is the sum of the length, 2x + 5, the width, 2x, and the height, 2x – 3.

B.
The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3.

C.
The volume is the product of the length, 2x + 5, and the width, 2x.

D.
The volume does not depend on the height, 2x – 3.

Answer 1

Option B

Explanation:

Answer 2

Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3

Explanation:

The picture of the question in the attached figure

we know that

The volume of a rectangular prism is equal to

`V=BH`

where

B is the area of the base of the prism

H is the height of the prism

In this problem we have

The area of the base B is equal to

`B=2x(2x+5)\ units^2`

The height H is equal to

`H=2x-3\ units`

therefore

The volume is equal to

`V=2x(2x+5)(3x-3)\ units^3`

The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3