Question

# The base of a prism is a right triangle with the sides perpendicular to each other of lengths 5 cm and 10 cm, respectively. If the height of the prism is 100 cm, then find the amount of water it will displace when placed in a container filled with water.

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Solution

## Here, volume of water displaced = volume of the prism Since, the triangle is a right-angled triangle, Area = 12×base×height = 12×5×10=25 cm2 Now, volume of the prism = base area × height =25×100 (since height is given as 100 cm) =2,500 cm3 So, the volume of water displaced is 2,500 cm3.

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