Question

ANSWER FAST PLEASE I AM VERY CONFUSED!!!!!

Answer 1

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,

$SA=bh+(s_1+s_2+s_3)H$

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;

$SA=(5.2)(4.3)+(5.2+4.3+6.75)(10)$

$SA=22.36+(16.25)(10)$

$SA=22.36+162.5$

$SA=184.86 \ cm^2$

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