To calculate the surface area of a triangular prism, we need to find the area of each face and add them all up.
1. Area of the triangular base:
Since the base of the prism is a triangle, we need to find the area of this triangle. The formula for the area of a triangle is 1/2 * base * height.
Base = 5.1 cm
Height = 27.9 cm
Area = 1/2 * 5.1 cm * 27.9 cm = 71.595 cm²
2. Area of the three rectangular faces:
Since the prism has three rectangular faces, we need to find the area of each face. The formula for the area of a rectangle is length * width.
1st face:
Length = 30.5 cm
Width = 27.9 cm
Area = 30.5 cm * 27.9 cm = 850.95 cm²
2nd face:
Length = 28.4 cm
Width = 27.9 cm
Area = 28.4 cm * 27.9 cm = 792.36 cm²
3rd face:
Length = 30.5 cm
Width = 5.1 cm
Area = 30.5 cm * 5.1 cm = 155.55 cm²
Now, add up the areas of all faces:
Total Surface Area = Area of triangular base + Area of three rectangular faces
Total Surface Area = 71.595 cm² + 850.95 cm² + 792.36 cm² + 155.55 cm²
Total Surface Area = 1870.455 cm²
Therefore, 1870 cm² of wrapping paper is needed to wrap the toy.
The prism is 5.1 cm 27.9 cm 30.5 cm 28.4 cm
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
S. A. = __ cm²
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