Respuesta :

Nncy

Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

Step-by-step explanation:

abidemiokin

Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum

Scale factors

Scale factor are used to increase or diminish the original figrure.

Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:

A = length * width * heiht

A = abc

If the measure of the sides are doubled, hence;

  • length = 2a
  • width = 2b
  • height = 2c

New volume = 2a * 2b * 2c

New volume = 8abc

Ratio = 8abc/abc
Ratio = 8

Hence the new volume will be 8times larger than the initial volume

Learn more on volume of a figure here: https://brainly.com/question/511679

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