(a) A pyramid is made above a cuboid with measure 90 cm x 50 cm × 225 cm. If the height of the pyramid including cuboid is 240 cm, find the total volume. ​



Answer :

The total volume of the solid = 1,035,000 cm³

What is the Volume of a Pyramid and a Cuboid?

Volume of a Pyramid = 1/3(length)(width)(height).

Volume of a cuboid = (length)(width)(height).

Volume of the Pyramid = 1/3(length)(width)(height)

Volume of the Pyramid = 1/3(90)(50)(240 - 225)

Volume of the Pyramid = 1/3(90)(50)(15)

Volume of the Pyramid = 22,500 cm³

Volume of the cuboid = (length)(width)(height)

Volume of the cuboid = (90)(50)(225)

Volume of the cuboid = 1,012,500 cm³

The total volume of the solid = 22,500 + 1,012,500

The total volume of the solid = 1,035,000 cm³

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