Question

february 6, 2026
1 practice 1
this prism has a right triangle for a base.
what is the volume of the prism?
type your answer in the box.
______ cubic units

Explanation:

Step1: Calculate base triangle area

The base is a right triangle, so area is $\frac{1}{2} \times 4 \times 3$.
First, find the missing leg of the right triangle: using Pythagoras, $\sqrt{5^2 - 4^2} = 3$.
Then area: $\frac{1}{2} \times 4 \times 3 = 6$

Step2: Multiply by prism length

Volume of prism = base area × length. The length is 8.
Expression: $6 \times 8 = 48$

Answer:

48