Question

A prism has a right triangle as its base.

The hypotenuse of the triangle is 10 cm
and one leg of the triangle is 6 cm. The
height of the prism is 7 cm. Find its
volume.

Answer 1

Explanation:

Answer 2

168 cm³

Explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle =
`\sqrt{10^(2)-6^(2)  }=8` cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is
`(1)/(2) * 8 * 6 = 24`cm².

Therefore, the volume of the prism is =
`24* 7=168` cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)