Question

jose carved this solid out of wood.
find the volume of the solid.
308 in³

Explanation:

Step1: Calculate total base width

$2 + 5 + 2 = 9$ in

Step2: Find volume of full block

Volume formula: $V = l \times w \times h$
$V_{full} = 7 \times 9 \times 6 = 378$ in³

Step3: Calculate volume of removed part

Height of removed part: $6 - 2 = 4$ in
$V_{removed} = 7 \times 5 \times 4 = 140$ in³

Step4: Subtract removed volume from full

$V_{solid} = 378 - 140$

Answer:

$238$ in³