The following triangular prism has a base that is a right triangle.

Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net.

Use your net to calculate the surface area of the prism.

Given:

Given that the triangular prism has a base that is a right triangle.

The height of the triangular prism is 10 cm.

The side lengths of the triangle are 4.3 cm, 5.2 cm and 6.75 cm.

We need to determine the surface area of the triangular prism.

Surface area of the triangular prism:

The surface area of the triangular prism can be determined using the formula,

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 5.2, h = 4.3, s₁ = 5.2, s₂ = 4.3, s₃ = 6.75 and H = 10 in the above formula, we get;

Thus, the surface area of the triangular prism is 184.86 square cm.

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step-by-step explanation:

part a: 1.08

part b: 27.59