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

the answer is 37

step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: