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