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A pyramid has a square base and its slant height is 17 cm and its vertical height is 15 cm. What is the volume of the pyramid?
1. 1280 cu.cm
2. 1380 cu.cm
3. 1180 cu.cm
4. 1480 cu.cm

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Best answer
Correct Answer - Option 1 : 1280 cu.cm

Given:

Height = 15 cm

Slant height = 17 cm

Concept:

For a pyramid with a square base of side a

(slant height)2 = (height)2 + (a/2)2

Formula used:

The volume of pyramid = 1/3 × area of base × height

Calculation:

Let the side of the square be a cm

172 = 152 + (a/2)2

⇒ a/2 = √289 - 225 = 8

⇒ a = 16 cm

∴ Volume = 1/3 × 16 × 16 × 15

⇒ V = 1280 cu.cm

∴ The volume is 1280 cu.cm

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