Find the area of the lateral faces of the right triangular prism with altitude of 5 cm and base edges of length 3 cm, 4 cm, and 5 cm.

The area of all 3 lateral triangular faces will be found by using the formula for area of a triangle.

A = 1/2bh

Face 1:
1/2 x 3 x 5
A = 7.5 square cm

Face 2:
1/2 x 4 x 5
A = 10 square cm

Face 1:
1/2 x 5 x 5
A = 12.5 square cm

12.5 + 7.5 + 10 = 30 square cm

The area of the lateral faces is 30 square cm.

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ap8997154 ap8997154 · Answer 2 · 2022-03-07T16:29:28+01:00

The total area of the lateral faces of the right triangular prism is 60 cm².

What are lateral faces?

Lateral faces are the faces of the prism that are not the base of the prism.

As we know that the faces of the lateral faces are rectangular, therefore, the area of the lateral faces can be calculated as,

Area of the first lateral face = 3 × 5 = 15 cm²

Area of the second lateral face = 4 × 5 = 20 cm²

Area of the third lateral face = 5 × 5 = 25 cm²

The total area of the lateral faces of the right triangular prism is (15 + 20 +25)60 cm².

Hence, the total area of the lateral faces of the right triangular prism is 60 cm².

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