Mathematics: An ice block is in the shape of a rectangular prism. Danny cute the block so that each side is 1/2 it s original length. How do the volumes of the ice block compare

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An ice block is in the shape of a rectangular

hschuman01osrzvf

09.04.2021

After he cuts the blocks, the volume is one eight of the original.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism with dimensions abc is given by:

V = abc

Danny cute the block so that each side is 1/2 it's original length. How do the volumes of the ice block compare?

This means that:

$a = \frac{a}{2}, b = \frac{b}{2}, c = \frac{c}{2}$

$V_c = \frac{a}{2}*\frac{b}{2}*\frac{c}{2} = \frac{abc}{2^3} = \frac{abc}{8} = \frac{V}{8}$

After he cuts the blocks, the volume is one eight of the original.

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