Question

surface areas of prisms and cylinders
guided practice
right triangular prism
what is the surface area of the prism?
type your answer and then click or tap done.
in²

Explanation:

Step1: Find area of triangular base

The triangular base is a right triangle with legs 5 in and 12 in. Area = $\frac{1}{2} \times 5 \times 12 = 30$ in².

Step2: Calculate perimeter of triangle

Perimeter = $5 + 12 + 13 = 30$ in.

Step3: Compute lateral surface area

Lateral surface area = perimeter × length = $30 \times 7 = 210$ in².

Step4: Find total surface area

Total surface area = 2×base area + lateral surface area = $2×30 + 210 = 468$ in².

Answer:

468 square inches