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josiah wraps a gift box in the shape of triangular prism. the figure below shows a net for the gift box.

josiah wraps a gift box in the shape of triangular prism. the figure below shows a-example-1
User Mnikley
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1 Answer

2 votes

Answer:

161.67 square feet of wrapper.

Step-by-step explanation

The given diagram shows the net of a gift box. In order to know the amount of wrapping used, we will calculate the total surface area of the figure.

The surface area is the sum of the shapes shown. The figure consists of 2triangles and 3 rectangle.

Determine the area of the rectangles

Area of the rectangles = (6ft * 7ft) +(5ft *7ft) + (7.81 * 7)

Area of the rectangles = 42+ 35 + 54.67

Area of the rectangles = 131.67 square feet

Determine the area of the triangles

Area of the two triangles = 6ft * 5ft

Area of the two triangles= 30 square feet.

Determine the surface area

Surface area = 131.67 + 30

Surface area =161.67 square feet

This shows that he used 161.67 square feet of wrapper.

User Roslyn
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