Question

what is the volume of this figure?
2 in.
3 in.
2 in.
4 in.
4 in.
3 in.
6 in.
____ cubic inches
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Explanation:

Step1: Split into two rectangular prisms

Divide the figure into a lower large prism and an upper small prism.

Step2: Calculate volume of lower prism

Volume formula: $V = l \times w \times h$.
$V_{\text{lower}} = 6 \times 4 \times 3 = 72$ cubic inches

Step3: Calculate volume of upper prism

Identify dimensions: $l=2$, $w=4$, $h=3$.
$V_{\text{upper}} = 2 \times 4 \times 3 = 24$ cubic inches

Step4: Sum the two volumes

Add the volumes of the two prisms.
$V_{\text{total}} = 72 + 24 = 96$ cubic inches

Answer:

96 cubic inches