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)
Responses
240 cm2
240 cm squared
287 cm2
287 cm squared
810 cm2
810 cm squared
330 cm2
The surface area of a triangular prism is calculated by finding the area of each face and the area of the three rectangular sides and summing them.
The area of the triangular face is (1/2) * base * height = (1/2) * 9 * 5 = 22.5 cm2
The area of the rectangular sides is 2 * (length * height) = 2 * (12 * 5) = 120 cm2
The area of the rectangular bottom is (base * length) = 9 * 12 = 108 cm2
Therefore, the total surface area is 22.5 + 120 + 108 = 250.5 cm2, which is approximately 251 cm2.
Therefore, the closest option is 240 cm2.