Question

Jen is going to make a sculpture from a rectangular block of clay, The volum of the block is (3x+2) (2x-1)(x +6) Which statement about the volume of the block of clay is true? Height x+6 length 3x+2 width 2x-1. A. The volume is the product of the length, 3x+2, and the width, 2x-1. B. The volume is the sum of the length, 3x+2, the width, 2x-1, and the height, x+6. C. The volume is the product of the area of the base, (3x+2)(2x-1), and the height, x+6. D. The volume does not depend on the length, 3x+2.

Answer 1

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = w * l * h$

Where,

• w: width
• l: length
• h: height

Therefore, replacing values ​​we have:

$V = (3x + 2) * (2x-1) * (x + 6)$

Where,

$(3x + 2) * (2x-1)$: area of ​​the base of the rectangular prism

Answer:

C. The volume is the product of the area of ​​the base, $(3x + 2) (2x-1)$, and the height, $x + 6$