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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.

Akash Kumar Dutta
98 Points
8 years ago

Dear Vivek,

i have seen your previous postings...
among them this is the most easy question.
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)

Regards.

Abhishekh kumar sharma
34 Points
7 years ago

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)