Question

To display 500 Wax Statuettes in a Museum, it is required to construct a big rectangular hall, allowing 22.5 m3 space per statuette. The height of the hall is to be kept at 7.5 m, while the total inner surface area of the walls must be 1,200 sq.m. Then the length and breadth of the hall, respectively, are

विकल्प

• 62 m and 22m

• 50 m and 30 m

• 46 m and 35 m

• 40 m and 32 m

Answer 1

50 m and 30 m

Explanation:

For 500 wax statuettes

volume = 500 × 22.5 m³

l × b × h = 500 × 22.5 m³ (h = 7.5 m)

l b = 1500 m²    .....(i)

Inner walls surface area = 2 (lh + bh)

2h (l + b) = 1200 m² (∵ h = 7.5)

l + b = 80

l = 50, b = 30 m

50 m and 30 m is the correct answer.