*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?

PLEASE ANSWER TY A scale factor of 2 is applied to the dimensions of the prism What effect will this have on the volume class=

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Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

What is volume?

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

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

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