Question

a triangular prism is shown below. the base is a right triangle. 6 in. 4 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 4 in and 6 in. The area of a triangle is $\frac{1}{2} \times base \times height$. So, area $= \frac{1}{2} \times 4 \times 6 = 12$ square inches.

Step2: Calculate volume of prism

The volume of a prism is $Area\ of\ base \times length\ of\ prism$. The length of the prism is 10 in. So, volume $= 12 \times 10 = 120$ cubic inches.

Answer:

120