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If the slant height of a right pyramid with square base is 4 metre and the total slant surface of the pyramid is 12 square metre, then the ratio of total slant surface and area of the base is :
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- 16 : 3
- 24 : 5
- 32 : 9
- 12 : 3
- 16 : 3
Correct Option: A
Let the length of each side of base be x metres, then
| × perimeter of base × slant height = 12 | ||
| 2 |
| ⇒ | × 4x × 4 = 12 | |
| 2 |
| ⇒ x = | = | metre | ||
| 8 | 2 |
| ∴ Area of the base = | sq. metre | |
| 4 |
| ∴ Required ratio = 12 : | = 16 : 3 | |
| 4 |
