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The base of a right pyramid is an equilateral triangle of side 4 cm each. Each slant edge is 5 cm long. The volume of the pyramid is
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4√8 cm³ 3
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4√60 cm³ 3
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4√59 cm³ 3 -
4√61 cm³ 3 - None of these
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Correct Option: E
| Area of the base of pyramid = | × (side)² | |
| 4 |
| = | × 4 × 4 = 4√3sq.cm. | |
| 4 |
Length of median on the base (AD) = √4² - 2²= √12
= 2√3 cm
| ∴ OD = | × 2√3 = | cm. | ||
| 3 | √3 |
| Height of pyramid = √5² - |  |  | ² | |
| √3 |
| Height of pyramid = √25 - | = | cm | ||
| 3 | √3 |
| ∴ Volume of pyramid = | × area of base × height | |
| 3 |
| ∴ Volume of pyramid = | × area of base × height | |
| 3 |
| = | cu.cm. | |
| 3 |
