Find the area of the cardboard required to pack the square pyramid shaped toy box using nets as shown.
A
18 sq ft
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B
27 sq ft
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C
36 sq ft
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D
45 sq ft
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Solution
The correct option is B 27 sq ft A square pyramid has 4 triangular faces and a square base as shown in the net.
Here,
Height = 3 ft
Base length(side) = 3 ft
We know,
Area of cardboard required = Area of square + Area of 4 triangles
Area of base (square) = side x side =3×3 =9sq ft
Area of 4 triangles =4×12×base×height =4×12×3×3 =18sq ft
Area carboard required = 18 + 9
= 27 sq ft
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∴ The area of the cardboard required to pack the given pyramid box is 27 sq ft