The base of a prism is a triangle with sides 5 cm, 12 cm, 13 cm the volume of the prism if its height is 6 cm
The base of a prism is a triangle with sides 5 cm, 12 cm, 13 cm the volume of the prism if its height is 6 cm
A) 180 cm3
B) 60 cm3
C) 360 cm3
D) can’t be determined
5 views
2 Answers
Correct option is (A) 180 cm3
Height of prism is 6 cm.
\(\because\) Base of prism is a triangle with sides 5 cm, 12 cm and 13 cm.
\(\therefore\) Base of prism is a right angled triangle
\((\because5^2+12^2=25+144=169=13^2)\)
\(\therefore\) Base area \(=\frac12\times5\times12=30\,cm^2\)
\(\therefore\) Volume of prism = Base area \(\times\) height of prism
\(=30\times6=180\,cm^3\)
5 views
Answered