Question

The base of a prism is triangular in shape with sides 3 cm, 4 cm, and 5 cm. Find the volume of the prism if its height is 10 cm.

Answer 1

Given:
Sides = 3 cm, 4 cm, and 5 cm
Height = 10 cm
To find:
The prism's volume
Solution:
We know that the prism's volume is the product of the base's area and its height.
So, the prism's volume = Triangular base's area×height
Since the triangle's sides form a Pythagorean triplet, it has to be right-angled.
The triangular base's area = $\frac{1}{2}\times height\times base$
= $\frac{1}{2}\times 3\times 4$
= $3\times 2$
= 6
Now, using the values, the required volume = $6\times 10$
= 60
Therefore, the required volume is 60 .