Can someone me work out the surface area

Step-by-step explanation:

Let A be the surface area of the triangular prism

Given:

A triangular prism

Height

Base

Perimeter of the base triangle (p = 6 + 8 + 10 = 24 cm)

Now we calculate the surface area of the triangular prism.

Solution:

We know that the surface area of the triangular prism.

-------------(1)

First We calculate the lateral surface area of the triangular prism.

Perimeter of the base and height are known, so we substitute these value in above equation.

Therefore the lateral surface area of the triangular prism

Now we calculate area of the base.

Where b = base and h = Height are known.

So the area of the base

Substitute Lateral surface area and base area in equation 1.

Therefore the surface area of the triangular prism

it would be 6xy and -16xy.