Cube-Shaped blocks are packed into a cube-shaped storage container.· The edge length of the storage container is 2 1/2 feet.· The edge length of each block is 1/5 the edge length of the storage container. What is the volume of, in cubic feet, one shaped-cube block?
Accepted Solution
A:
Answer:The volume of one shaped-cube block is [tex]\frac{1}{8}\ ft^{3}[/tex]Step-by-step explanation:we know thatThe volume of a cube is equal to[tex]V=b^{3}[/tex]whereb is the length side of the cubestep 1Find the length side of one shaped-cube blockLetx------> the length side of one shaped-cube blocky-----> the length side of the storage container[tex]x=y/5[/tex] -----> equation Awe have[tex]y=2\frac{1}{2}\ ft=\frac{2*2+1}{2}=\frac{5}{2}\ ft[/tex] ---> convert to an improper fractionsubstitute in the equation A[tex]x=(5/2)/5=1/2\ ft[/tex]step 2Find the volume of one shaped-cube block [tex]V=(1/2)^{3}[/tex][tex]V=\frac{1}{8}\ ft^{3}[/tex]