Two similar rectangular prisms have a scale factor of 4:1. The smaller prism has a volume of 6 cubic centimeters. What is the volume of the larger prism in cubic centimeters?

Okay so the answer key says it's 384 cm^3 but how do you find this?

Question

Two similar rectangular prisms have a scale factor of 4:1. The smaller prism has a volume of 6 cubic centimeters. What is the volume of the larger prism in cubic centimeters?

Okay so the answer key says it's 384 cm^3 but how do you find this?

mathstudent55 · Answer

I'll show you this by example. This is something you need to remember for the future.

anonymous · Answer

ok

mathstudent55 · Answer

Here are 2 segments of lengths 1 and 2.
Obviously the scale factor is 2, right?
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anonymous · Answer

Yup

mathstudent55 · Answer

Now look at what happens when we deal with areas.

mathstudent55 · Answer

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