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

Fomula of Volume of triangular prism is =1/2×base×height =1/2×(3+4+5)×10 =1/2×120 =60 If you like it then click thanks and brainliest answer.

Answer 2

Given:

Sides= 3 cm, 4 cm, and 5 cm

Height= 10 cm

To find:

The prism's volume

Solution:

The required volume is 60 $cm^{3}$.

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=1/2×height×base

=1/2×3×4

=3×2

=6 $cm^{2}$

Now, using the values, the required volume=6×10

=60 $cm^{3}$

Therefore, the required volume is 60 $cm^{3}$.