Question

jessica carved this solid out of wood. find the volume of the solid.

Explanation:

Step1: Calculate volume of large cuboid

$V_1 = 7\times6\times(6 + 6+ 5)=7\times6\times17 = 714$ in³

Step2: Calculate volume of two removed cuboids

Each removed cuboid has dimensions $6\times(7 - 5)\times6$. Volume of one is $V_{r}=6\times2\times6 = 72$ in³. Volume of two is $V_2 = 2\times72=144$ in³

Step3: Calculate volume of the solid

$V = V_1-V_2=714 - 144 = 570$ in³

Answer:

570