Question

Srekar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch.

A prism has a length of 3, height of 1, and width of 2.

Which statements about the new prism are true? Select three correct answers.
The new prism will have a length of 5 because 3 + 2 = 5.
The new prism will have a width of 4 because 2 + 2 = 4.
The new prism will have a height of 2 because 1 times 2 = 2.
The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2.
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.

Answer 1

The statement first, statement second, and statement sixth are true.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inches.

The new length = 3+2 = 5 inches

The new width = 2+2 = 4 inches

The new height = 1+2 = 3 inches

The volume of the old prism  = 3×2×1 = 6 cubic inches

The volume of the new prism = 5×4×3 = 60 cubic inches

Srekar, could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side is false becasue:

Volume = 3×2×(1+6) = 42 cubic inches

The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each is true.

Thus, the statement first, statement second, and statement sixth are true.

Learn more about the volume here:

https://brainly.com/question/16788902

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