Question

deshaun carved this solid out of wood.
find the volume of the solid.
□ in³

Explanation:

Step1: Split solid into 3 rectangular prisms

We can divide the shape into a top prism, a middle prism, and a bottom prism.

Step2: Calculate volume of top prism

Volume formula: $V = l \times w \times h$
Top prism: $l=5, w=6, h=5$
$V_1 = 5 \times 6 \times 5 = 150$

Step3: Calculate volume of middle prism

Middle prism: $l=3, w=6, h=8$
$V_2 = 3 \times 6 \times 8 = 144$

Step4: Calculate volume of bottom prism

Bottom prism: $l=5, w=6, h=5$
$V_3 = 5 \times 6 \times 5 = 150$

Step5: Sum all volumes

Total volume: $V = V_1 + V_2 + V_3$
$V = 150 + 144 + 150$

Answer:

$444$ $\text{in}^3$