Question

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

Explanation:

Step1: Find total base width

$2 + 5 + 2 = 9$ in

Step2: Calculate full block volume

$\text{Volume}_{\text{full}} = 9 \times 7 \times 6 = 378$ in$^3$

Step3: Calculate removed notch volume

$\text{Volume}_{\text{notch}} = 5 \times 7 \times 2 = 70$ in$^3$

Step4: Subtract notch from full volume

$\text{Volume}_{\text{solid}} = 378 - 70$

Answer:

308 in$^3$