Question

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

Answer 1

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

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 = (a)/(2), b = (b)/(2), c = (c)/(2)`

So

`V_c = (a)/(2)*(b)/(2)*(c)/(2) = (abc)/(2^3) = (abc)/(8) = (V)/(8)`

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