Question

Question 1 of 20
The volume of a rectangular box is 5x(x+3)(2x - 1).
Height: 2x-1
Length: x + 3
Width: 5x
Which statement is true?
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
B. The volume is the sum of the length, x + 3, the width, 5x, and the
height, 2x - 1.
C. The volume is the product of the length, x + 3, and the width, 5x.
D. The volume does not depend on the height, 2x - 1.

Answer 1

Answer:

A. The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

Step-by-step explanation:

Volume is defined as the product of the Length, Width, and Height,

V = L*W*H

The Length x Width is the Area of the Base

L*W = Area Base)

Therefore:  

The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]

[Area of the Base]

[Area of the Base]  = (5x)*(x+3)          [(or 5x^2 + 15x)]

Volume = [Area of the Base]*H

Volume = [(5x)*(x+3)]*(2x-1)

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

the height, 2x - 1.

  That looks a lot like the answer in A:  "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."