Question

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. the height is 5.1 the base is 27.9 the angled height is 28.4 and the length is 30.5

Answer 1

what is the surface area

Answer 2

Ahhhh you're doing the Surface Area Unit Test

Answer 3

To calculate the surface area of the triangular prism (which represents the amount of wrapping paper needed), we need to calculate the area of all five faces.

1. Area of the triangular faces:
The triangular prism has two triangular faces, so we calculate the area of one and then multiply by 2.
Area = 0.5 * base * height
Area = 0.5 * 27.9 * 5.1
Area = 71.145

2. Area of the rectangular faces:
The triangular prism has three rectangular faces, with two rectangles having dimensions 27.9 x 28.4, and one having dimensions 5.1 x 30.5.
Area = length * width
Area = (27.9 * 28.4) + (27.9 * 28.4) + (5.1 * 30.5)
Area = 793.56 + 793.56 + 155.55
Area = 1742.67

Total surface area = 71.145 + 1742.67
Total surface area = 1813.815

Rounded to the nearest whole number, 1814 square units of wrapping paper are needed to wrap the toy.

Answer 4

The surface area of the triangular prism is 1814 square units.

Answer 5

I apologize for any confusion. If you have any more questions or need further assistance, feel free to ask!