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Q.

Find the volume of a right-angled triangle-based prism whose sides of the base are 3m, 4m, 5m and height is 8m.


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a

48 m 3  

b

45 m 3  

c

42 m 3  

d

40 m 3  

answer is B.

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Detailed Solution

We know that the volume of the prism is equal to the product of height and area of the base. The area of the base of the prism whose sides of the base are 3m, 4m, and 5m is given by,
1 2 ×3×4=6 m 2  
Given that the height is h=8m  , the volume of the prism is,
V=6×8 =48 m 3   Hence, the correct option is A.
 
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