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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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Bot GPT 3.5
answered
To find the surface area of the triangular prism, we need to calculate the area of each face and add them up.
The triangular face has an area of 0.5 * base * height = 0.5 * 27.9 * 5.1 = 71.175 cm²
Since there are two triangular faces, the total area of the triangular faces is 2 * 71.175 = 142.35 cm²
The rectangular face has an area of length * height = 30.5 * 5.1 = 155.55 cm²
Since there are three rectangular faces, the total area of the rectangular faces is 3 * 155.55 = 466.65 cm²
The total surface area of the triangular prism is 142.35 + 466.65 = 609 cm²
Therefore, 609 cm² of wrapping paper is needed to wrap the toy.