Question

Awodden doll of height 8cm is made of with a pyramid of slant height 5cm on its upper part and a prism of base 6×6 on its lower part. if all the faces of the doll is painted at the rate of Rain 200 per cm^2, what will be the total cost? Find it. ​

Answer 1

Total cost of painting the pyramid including the base = 19,200

Total cost of painting the pyramid excluding the base = 12,000

Explanation:

Data provided in the question:

Height of the doll = 8 cm

Slant height of the pyramid, s = 5 cm

Base dimensions = 6 × 6

Cost of painting = 200 per cm²

Now,

Area of the base = 6 × 6 = 36 cm²

Area of the Pyramid = Area of the base +
`(1)/(2) * P* s`

here,

P is the perimeter of the base = 4 × side

= 4 × 6

= 24 cm

Thus,

Area of the Pyramid = 36 +
`(1)/(2) *24* 5`

or

Area of the Pyramid = 36 + 60 = 96 cm²

Total cost of painting the pyramid including the base = 96 cm² × 200

= 19,200

Total cost of painting the pyramid excluding the base = 60 cm² × 200

= 12,000