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Lisa is going to make a sculpture from a rectangular block of clay. The volume of the block is (2x – 1)(x – 3)(x + 4).

Which statement about the volume of the block of clay is true?

A. The volume is the product of the length, 2x – 1, and the width, x – 3.
B. The volume does not depend on the length, 2x – 1.
C. The volume is the product of the area of the base, (2x – 1)(x – 3), and the height, x + 4.
D. The volume is the sum of the length, 2x – 1, the width, x – 3, and the height, x + 4.

Respuesta :

sqdancefan

The volume of a rectangular block is the product of the area of the base and the height.


The appropriate choice is

... C. The volume is the product of the area of the base, (2x-1)(x-3), and the height, x+4.

True statement about volume of the rectangular block is given by the volume is the product of the area of the base, [tex](2x - 1)(x - 3)[/tex], and the height, [tex]x + 4[/tex].

What is volume?

" Volume is defined as the total space occupied by three dimensional object enclosed in it. "

Formula used

Volume of rectangular block = ( length × width) ×height

Area of rectangle = ( length × width)

According to the question,

Sculpture made by Lisa using rectangular block.

Volume of the block =  (2x – 1)(x – 3)(x + 4)

Compare it with the formula of the rectangular block we get,

Length [tex]= (2x-1)[/tex]

Width[tex]= (x - 3)[/tex]

Height[tex]= (x+ 4)[/tex]               ______(1)

Rectangular block base is rectangle in shape

Substitute the value in the formula of area we get,

Area of the base =  [tex](2x-1)(x-3)[/tex]                   ___(2)

From (1) and (2) we conclude,

Volume of the rectangular block = (area of the base) × height

                                                        [tex]= [(2x - 1) (x -3) ]\times (x + 4)[/tex]

Hence, Option C is the correct answer.

Learn more about volume here

https://brainly.com/question/1578538

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