A toy in the shape of a square pyramid has base edge 16 centimetres and slant height 10 centimetres. 500 of these are to be painted and the cost is 80 rupees per square metre. What would be the total cost?

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Solution

Base edge of the square pyramid = 16 cm

Slant height of the square pyramid = Height of the triangle = 10 cm

Area of the square = (side)² = (16 cm)² = 256 cm²

Area of triangle =

Area of one square pyramid = Area of square + Area of four triangles

= (256 + 4 × 80) cm²

= 576 cm²

Area of 500 square pyramids = 576 × 500 cm²

= 288000 cm²

= 28.8 m² (1 m² = 10000 cm²)

Cost of painting for 1 square metre = Rs.80

∴ Total cost of painting 28.8 m² area = Rs.80 × 28.8 = Rs.2304

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