Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?

Question

06-05-2022
Mathematics

Answered

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Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?

Sagot :

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MrRoyal MrRoyal · Answer 1 · 2022-05-11T06:30:48-04:00

The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

The surface area of the box

To determine the surface area from the net of the box, we simply calculate the area of each shape.

From the given figure, we have the following shapes and dimensions:

Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ft
Triangle: Base = 12 ft and Height= 7 ft

The area is then calculated using:

Area = Areas of the rectangle + Area of the triangle

So, we have:

Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7

Evaluate the sum of products

Area = 430.35

Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

Zoe is decorating the outside of a box in the shape of a triangular prism. The figure below shows a net for the box. 15 ft 12 ft 12 ft 17 ft 13.89 ft 13.89 ft What is the surface area of the box, in square feet, that Zoe decorates?

Sagot :

The surface area of the box

Other Questions

Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?