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)
S.A. =
cm2
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To calculate the surface area (S.A.) of the triangular prism, we need to find the area of each of its faces and add them together.
1. The area of the triangular face can be calculated using the formula for the area of a right triangle: 0.5 * base * height.
Area = 0.5 * 27.9 * 5.1 = 71.145 cm2
2. The area of the other two rectangular faces can be calculated using the formula for the area of a rectangle: length * width.
Area = 30.5 * 5.1 = 155.55 cm2
Area = 30.5 * 27.9 = 850.95 cm2
3. Now add all three areas together to find the total surface area:
S.A. = 71.145 + 155.55 + 850.95 = 1077.645 cm2
Therefore, approximately 1078 cm2 of wrapping paper is needed to wrap the toy.