Question

find the volume of the solid.

Explanation:

Step1: Split into two rectangular prisms

Divide the solid into top and bottom prisms.

Step2: Calculate top prism volume

Volume formula: $V_1 = l \times w \times h$
$V_1 = 4 \times 3 \times 4 = 48$ $\text{cm}^3$

Step3: Calculate bottom prism volume

Volume formula: $V_2 = l \times w \times h$
$V_2 = 2 \times 3 \times 6 = 36$ $\text{cm}^3$

Step4: Sum the two volumes

Total volume: $V = V_1 + V_2$
$V = 48 + 36 = 84$ $\text{cm}^3$

Answer:

84 $\text{cm}^3$