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find the volume of the triangular prism. $42\\ ft^{3}$ $192\\ ft^{3}$ $…

Question

find the volume of the triangular prism.
$42\\ ft^{3}$
$192\\ ft^{3}$
$84\\ ft^{3}$
$210\\ ft^{3}$

Explanation:

Step1: Calculate triangle base area

The base is a right triangle, area = $\frac{1}{2} \times 3 \times 4 = 6$ ft²

Step2: Multiply by prism length

Volume = base area $\times$ length = $6 \times 14 = 84$ ft³

Answer:

C. $84\ \text{ft}^3$