Answered

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Which ratios are equal to 64 when the scale factor is 8? Select all that apply.

Group of answer choices


The scaled volume of a cube to the original volume.


The scaled surface area of a square pyramid to the original surface area.


The scaled volume of a rectangular prism to the original volume.


The scaled perimeter of an octagon to the original perimeter.


The scaled area of a triangle to the original area.

Sagot :

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Answer:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

Step-by-step explanation:

Suppose that we have a cube with sidelength M.

if we rescale this measure with a scale factor 8, we get 8*M

Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2

This means that the ratio of the surfaces/areas will be 64.

(and will be the same for a pyramid, a rectangle, etc)

Then the correct options will be the ones related to surfaces, that are:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

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