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current skill ! find the volume of the figure shown below. 12 in 15 in …

Question

current skill !
find the volume of the figure shown below.
12 in
15 in
16 in
label required
1440 cubic inches
skill code: 1042030

Explanation:

Step1: Identify prism volume formula

The volume of a triangular prism is $V = \text{Area of triangular base} \times \text{length of prism}$.

Step2: Calculate triangular base area

The triangular base has height $12$ in and base $16$ in.
$\text{Area} = \frac{1}{2} \times 16 \times 12 = 96$ square inches

Step3: Calculate total volume

Multiply base area by prism length ($15$ in):
$V = 96 \times 15$

Answer:

960 cubic inches