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

17^{2} = 15^{2} + (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**