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Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of 2, and a height of 1.

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

Which statements about the new prism are true? Check all that apply.
The new prism will have a length of 5 because 3 + 2 = 5.
The new prism will have a depth 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.

2 Answers

5 votes

Answer:

A and B

Step-by-step explanation:

User Thelouras
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5.3k points
5 votes

Answer:

The new prism will have a length of 5 because 3 + 2 = 5.

The new prism will have a depth of 4 because 2 + 2 = 4.

Step-by-step explanation:

The original prism has:

length of 3

depth of 2

height of 1

In this case, we can the volume of the prism with the formula: length × depth × height

3 × 2 × 1 = 6 in³

As seen in the question above, Srekar had to increase 2 inches on each side of the prism. In this case, we need to add this value in length, depth and height and then calculate the volume of the prism with the new values. This will happen as follows:

New length = 3 + 2 = 5 inches

New depth = 2 + 2 = 4 inches

New height = 1 + 2 = 3 inches

New volume = (5 × 4 × 3) = 60 in³

User Arlyne
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4.6k points