Question

Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answer 1

The surface area of the triangular prism is determined as 5,220 cm².

How to calculate the surface area of the triangular prism?

The surface area of the triangular prism is calculated by applying the following formula as shown below;

T.S.A = (s₁ + s₂ + s₃)L + bh

where;

• s₁, s₂, and s₃ is the side lengths of the prism
• L is the length of the prism
• b is the base of the triangle
• h is the height of the prism

The surface area of the triangular prism is calculated as;

T.S.A = (41 + 18 + 41)45 + (40 x 18)

T.S.A = 5,220 cm²

Thus, we can conclude that the surface area of the triangular prism is determined as 5,220 cm².

Answer 2

Surface area = 505cm²

Explanation:

Surface area of the triangular prism. = 2B + ph

B is the base area

p is the perimeter of the triangle

h is the height of the triangle

Base area = 1/2 * base * height

Base area = 1/2 * 18 * 40

Base area = 9 * 40

Base area = 360cm²

Perimeter of the triangle = 41 + 41 + 18

Perimeter of the triangle = 100cm

height of the prism = 45cm

Surface area = 360 + 100 + 45

Surface area = 505cm²