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.

height 5.1cm
length 27.9
width 30.5
base 28.4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a triangular prism, you need to calculate the area of the two triangular faces and the three rectangular faces separately.

1. Area of the two triangular faces:
Height of the triangular prism = 5.1 cm
Base of the triangle = 28.4 cm
Area of one triangle = (1/2) * base * height
Area of both triangles = 2 * (1/2) * 28.4 * 5.1 = 145.08 cm^2

2. Area of the three rectangular faces:
Length of the triangular prism = 27.9 cm
Width of the triangular prism = 30.5 cm
Height of the triangular prism = 5.1 cm

Front and back rectangular faces: 2 * length * height = 2 * 27.9 * 5.1 = 284.58 cm^2
Side rectangular faces: 2 * width * height = 2 * 30.5 * 5.1 = 310.2 cm^2

Total surface area = Area of two triangles + Area of three rectangles
Total surface area = 145.08 + 284.58 + 310.2 = 739.86 cm^2

Therefore, approximately 740 cm^2 of wrapping paper is needed to wrap the toy.