Question

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

1. 180 cm3

2. 60 cm3

3. 360 cm3

4. Can’t be determined​

Answer 1

Answer:

We are given that the triangular prism with sides 5 cm, 12 cm and 13 cm and its height is 6 cm. Hence the volume of triangular prism is 180 cubic cm.

Answer 2

Answer:

ti give you a example

. The base of a right prism is a triangle whose sides arc of lengths 13 cm., 20 cm. and 21 cm. If the height of the prism be 9 cm. find the area of total lateral surface, area of the whole surface and the volume of the prism.

Solution: Let s be the semi-perimeter of the triangular base of the prism. Then,

S = (13 + 20 + 21)/2 cm. = 27 cm.

Therefore, the area of the prism = √[s(s - a)(s - b)(s - c)]

= √(27(27 - 13)(27 - 20)(27 - 21)) sq. cm.

= √(27 × 14 × 7 × 6) sq. cm.

= 9 × 7 × 2 sq. cm.

Therefore, the area of total lateral surface of the prism

= (perimeter of the base) × height

= (486 + 2 × 126) sq. cm. 

And the volume of the prism

= area of the base × height

= 126 × 9 cu.cm.

= 1134 cu.cm.

answer by swati