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The base of a right prism is a right angled triangle. The measure of the base of the right angled triangle is $3 m$ and its height is $4 m$ . If the height of the prism is $7 m$ , then what is the volume of the prism?

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40 m 3

32 m 3

42 m 3

30 m 3

answer is C.

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Detailed Solution

Given that the measure of the base of the right angled triangle is

3 m

, its height

4 m

and the height of the prism is

7 m

.
We have the following formulae,
Area of a triangle =

12 × b a s e × h e i g h t

Volume of right prism = area of base

×

height of prism
The volume of the prism will be,

= 12 × 3 × 4 × 7

= 42 m 3

Thus, the volume of the prism will be

42 m 3

.
Therefore the correct option is 3.

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