Question

Use the image to answer the question.

A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.

What is the surface area of the triangular prism?

(1 point)
square centimeters

Answer 1

The triangle area is (1/2)(6)(8) = 24 cm^2. Two bases: 2(24) = 48 cm^2.
Lateral area = perimeter(6+8+10=24) × prism length 9 = 24·9 = 216 cm^2.
Total surface area = 48 + 216 = 264 cm^2.