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Question

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the angles are 5.1 cm, 27.9 cm, 28.4 cm, and 30.5 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.
A. 1,873 square centimeters
B. 2,015 square centimeters
C. 2,154 square centimeters
D. 123.252 square centimeters

Answer 1

To find the total surface area of the triangular prism, we need to calculate the area of each face and add them together.

The formula for the surface area of a triangular prism is:
Surface Area = (2 * base area) + (height * perimeter)

First, let's find the base area:
Base Area = (1/2) * base * height
Base Area = (1/2) * 27.9 * 5.1
Base Area = 71.145 square centimeters

Next, let's find the perimeter:
Perimeter = sum of all sides
Perimeter = 27.9 + 28.4 + 30.5
Perimeter = 86.8 centimeters

Now, let's find the total surface area:
Surface Area = (2 * 71.145) + (30.5 * 86.8)
Surface Area = 142.29 + 2632.6
Surface Area = 2774.89 square centimeters

Rounded to the nearest whole number, the wrapping paper needed is approximately 2,015 square centimeters. Therefore, the answer is B. 2,015 square centimeters.