Length of the hypotenuse , Mathematics

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A right triangular prism has volume equal to 288 cm^3. The height of the prism is 3 cm. One of the bases of the triangular face (not the hypotenuse) is equal to 12 cm, determine the length of the hypotenuse (in cm) of the triangular face.

Sol) VOLUME=(base area).(height of prism)=288
                (base area)=288/3=96cm

but base area =1/2.(base).(height of trinangle)=96

give base=12cm => height of triangle= 96.2/12=16cm.

hypotenuse= root( 12^2 + 16^2 ) =  20cm (ANS)


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