The base of a prism is a triangle with sides 5 cm, 12 cm, 13 cm the vo

1.	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 cm3B) 60 cm3 C) 360 cm3D) can’t be determined
Answer» 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 \(=30\times6=180\,cm^3\) Correct option is A) 180 cm³

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 cm3B) 60 cm3 C) 360 cm3D) can’t be determined

Answer»

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

\(=30\times6=180\,cm^3\)

Correct option is A) 180 cm³