Answer:
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:
[tex]V = abc[/tex]
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:
[tex]a = \frac{a}{2}, b = \frac{b}{2}, c = \frac{c}{2}[/tex]
So
[tex]V_c = \frac{a}{2}*\frac{b}{2}*\frac{c}{2} = \frac{abc}{2^3} = \frac{abc}{8} = \frac{V}{8}[/tex]
After he cuts the blocks, the volume is one eight of the original.
