Question

a triangular prism is shown below. the base is a right triangle. 7 in. 5 in. 10 in. what is the volume of the triangular prism? cubic inches

Explanation:

Step1: Find area of triangular base

The base is a right triangle with legs 7 in and 8 in. The area of a triangle is $\frac{1}{2} \times base \times height$. So, area $= \frac{1}{2} \times 7 \times 8 = 28$ square inches.

Step2: Calculate volume of prism

Volume of a prism is $Area\ of\ base \times length\ of\ prism$. The length of the prism is 10 in. So, volume $= 28 \times 10 = 280$ cubic inches.

Answer:

280