Q1 · hard · AI-verified
A regular hexagon has a side length of 6 cm. What is its area? (Use √3 = 1.732)
- 93.528 sq cm
- 108 sq cm
- 86.4 sq cm
- 72√3 sq cm
Q2 · hard · AI-verified
A solid sphere of radius 9 cm is melted and recast into small spheres of radius 3 cm each. How many small spheres can be formed?
- 18
- 9
- 27
- 36
Q3 · hard · AI-verified
A hollow cylinder has an external radius of 8 cm, internal radius of 6 cm, and height of 14 cm. What is the volume of the material used? (Use π = 22/7)
- 1232 cubic cm
- 1056 cubic cm
- 1408 cubic cm
- 924 cubic cm
Q4 · hard · AI-verified
The total surface area of a rectangular prism is 94 cm². If its length, breadth, and height are in the ratio 3:2:1 respectively, find its volume.
- 54 cm³
- 36 cm³
- 72 cm³
- 48 cm³
Q5 · hard · AI-verified
A regular hexagon has a side length of 6 cm. What is the area of the hexagon?
- 108 cm²
- 72 cm²
- 93.6 cm²
- 86.4 cm²