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Question

# What's the volume of the prism with a base of isosceles right-angled triangled in which two sides are of length 6 cm and one side of length √72 cm and height of the prism is 10 cm?

A
180 cm3
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B
18 cm3
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C
280 cm3
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D
90 cm3
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Solution

## The correct option is A 180 cm3 Given that, Height of the prism = 10 cm. Dimension of base triangle = 6 cm, 6 cm and √72 cm. We know that, volume of prism =Area of base×height ∵ The base is isosceles right-angled triangled. Now, area of base (isosceles right-angled triangled) =12×base×height =12×6×6 =18 cm2 ∴ Volume of the prism =base area×height =18×10 =180 cm3

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