A company designs a new chocolate box in the shape of a regular right pyramid with a square base. The base side of the box is 10 cm and its height is 12 cm. Due to packaging constraints, the box can only be filled up to 90% of its total volume. If the company wants to estimate the total cost of chocolate, knowing that 1 cm3 of chocolate costs ₹0.50, what is the cost of chocolate to fill one such box?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. ₹180.
Volume of pyramid = × base area × height
Base area = 10 × 10 = 100
Volume = × 100 × 12 = 400 cm3
90% filled ⇒ 400 × = 360 cm3
Cost = 360 × 0.50 = ₹180