Arectangular prism has a volume of 24 in³. for a school project, sharon applies a scale factor of 3 to the prism.

find the volume ratio of the enlarged prism to the original prism.

enter your answer in the box in simplified form.

The volume ratio of the enlarged prism to the original prism is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> the scale factor

x-----> the volume of the enlarged prism

y-----> the volume of the original prism

so

we have

substitute

-----> volume of the enlarged prism

the volume ratio of the enlarged prism to the original prism is equal to

Verify

-----> is correct

r and t.

both are 64 degrees.