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The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm, respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter.

The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm, respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter. Correct Answer 1536

2

262 = H2 + (20/2)2

⇒ H2 = 262 - 102

⇒ H = √576 = 24

As we know,

Volume of the pyramid = (1/3) × Area of Base × height

Volume of the pyramid = (1/3) × 16 × 12 × 24 = 1536 cm3

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