Question

If S = 3 ft and L = 6 ft, what is the surface area of the prism?

Answer 1

To find the surface area of the prism, we need to calculate the area of each face and then sum them up.

The prism has 2 triangular faces and 3 rectangular faces.

The formula for the surface area of a triangular face is A = 1/2 * base * height.

The formula for the surface area of a rectangular face is A = length * width.

1. Area of triangular face = 1/2 * S * L = 1/2 * 3 ft * 6 ft = 9 ft^2
2. Area of triangular face = 1/2 * S * L = 1/2 * 3 ft * 6 ft = 9 ft^2
3. Area of rectangular face = S * L = 3 ft * 6 ft = 18 ft^2
4. Area of rectangular face = S * L = 3 ft * 6 ft = 18 ft^2
5. Area of rectangular face = S * L = 3 ft * 6 ft = 18 ft^2

Now we can sum up all the areas to find the total surface area of the prism:

9 ft^2 + 9 ft^2 + 18 ft^2 + 18 ft^2 + 18 ft^2 = 72 ft^2

Therefore, the surface area of the prism is 72 square feet.