To find the amount of wrapping paper needed to wrap the triangular prism container, we need to find the surface area of the container.
First, calculate the area of the two triangular faces. The formula for the area of a triangle is 1/2 * base * height.
For the triangle with base 30.5 cm and height 28.4 cm:
Area = 1/2 * 30.5 cm * 28.4 cm = 433.54 square cm
For the triangle with base 27.9 cm and height 28.4 cm:
Area = 1/2 * 27.9 cm * 28.4 cm = 396.52 square cm
Next, calculate the area of the three rectangular faces. The formula for the area of a rectangle is length * width.
For the rectangle with dimensions 30.5 cm x 5.1 cm:
Area = 30.5 cm * 5.1 cm = 155.55 square cm
For the rectangle with dimensions 27.9 cm x 5.1 cm:
Area = 27.9 cm * 5.1 cm = 142.29 square cm
For the rectangle with dimensions 27.9 cm x 30.5 cm:
Area = 27.9 cm * 30.5 cm = 850.95 square cm
Finally, add up the areas of all the faces to find the total surface area:
433.54 + 396.52 + 155.55 + 142.29 + 850.95 = 1978.85 square cm
Rounded to the nearest whole number, the toy would need 1979 square cm of wrapping paper.
28.4 cm
30.5 cm
27.9 cm
5.1 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.
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