Answer:
Total cost of painting the pyramid including the base = 19,200
Total cost of painting the pyramid excluding the base = 12,000
Step-by-step 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 + [tex]\frac{1}{2} \times P\times s[/tex]
here,
P is the perimeter of the base = 4 × side
= 4 × 6
= 24 cm
Thus,
Area of the Pyramid = 36 + [tex]\frac{1}{2} \times24\times 5[/tex]
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
