Surface Area Unit Test
8 of 158 of 15 Items
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 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.
(1 point)
To find the surface area of the triangular prism, we need to calculate the area of each face and add them together.
1. Area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 27.9 cm * 5.1 cm
Area = 71.145 cm^2
2. Area of the rectangular faces (2):
Area = length * height
Area = 30.5 cm * 5.1 cm
Area = 155.55 cm^2
Total surface area = 2(155.55) + 71.145
Total surface area = 311.1 + 71.145
Total surface area = 382.245 cm^2
Rounded to the nearest whole number, the amount of wrapping paper needed is 382 cm^2.