What is the surface area of the triangular prism?
If H is 8cm L is 6cm and W is 9cm and the other is 10cm
To calculate the surface area of a triangular prism, you need to calculate the area of each of the five faces and then add them up.
The three rectangular faces of the prism can be represented by a rectangle with dimensions equal to the height (H) and the width (W) or length (L) of the prism.
Area of one rectangle = H x W = 8 x 9 = 72 cm^2
There are three rectangular faces, so the total area of the rectangular faces = 3 x 72 = 216 cm^2
The two triangular faces of the prism are congruent and each can be represented by a triangle with base equal to the base of the prism (W or L) and height equal to the height of the prism (H).
Area of one triangle = 1/2 x base x height = 1/2 x 9 x 8 = 36 cm^2
There are two triangular faces, so the total area of the triangular faces = 2 x 36 = 72 cm^2
Now, add up the areas of all five faces to get the total surface area of the triangular prism:
Total surface area = 216 + 72 = 288 cm^2
Therefore, the surface area of the triangular prism with H = 8cm, L = 6cm, W = 9cm, and the other W = 10cm is 288 cm^2.