Question

Use the image to answer the question.

An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 12 centimeters and 9 centimeters. The perpendicular side of the triangular face measures 5 centimeters and the hypotenuse measures 13 centimeters.

A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?

(1 point)

240 cm2


810 cm2


287 cm2


330 cm2

Answer 1

Surface area = 2(area of triangular base) + (perimeter of triangle)(prism length).

Triangle sides 5, 12, 13 → area = (1/2)(5)(12) = 30, perimeter = 5+12+13 = 30.
Prism length = 9, so lateral area = 30·9 = 270.
Total = 2·30 + 270 = 60 + 270 = 330 cm².

Answer: 330 cm².