To calculate the surface area of the triangular prism, we need to find the area of all the faces and add them up.
1. The area of the triangular face:
Area = 1/2 * base * height
Area = 1/2 * 27.9 cm * 5.1 cm
Area = 71.145 square cm
2. The area of the three rectangle faces:
Since the triangular prism has three rectangle faces, we need to calculate the area of one rectangle face and multiply it by 3.
Area = length * height
Area = 30.5 cm * 5.1 cm
Area = 155.55 square cm
Now we add up the areas of all the faces to find the total surface area:
Total Surface Area = 71.145 + 155.55
Total Surface Area = 226.695 square cm
Therefore, approximately 227 square cm of wrapping paper is needed to wrap the toy.
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.
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