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.

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

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of a rectangular prism is equal to

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

The height H is equal to

therefore

The volume is equal to

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

answer: a

step-by-step explanation:

if xy ~ yz therefore xy would be the same length as yz

answer: the answer is ann