Question

Solve for the surface area of the triangular prism answer choices 260, 280, 180, 320

Answer 1

To solve for the surface area of a triangular prism, we can use the formula:

Surface Area = 2*(base area) + (perimeter of base)*(height)

Given that this is a triangular prism, the base shape is a triangle. We need to calculate the area of the base triangle, which can be done using the formula for the area of a triangle:

Area of a triangle = (1/2)*(base)*(height)

Then, we calculate the perimeter of the base triangle by adding up the lengths of all three sides.

Let's assume the base of the prism has a base of length 10 units, and height of 6 units. The height of the prism is 12 units.

1. Calculate the area of the base triangle:
Area = (1/2)*(10)*(6) = 30 square units

2. Calculate the perimeter of the base triangle:
Perimeter = 10 + 10 + 12 = 32 units

3. Calculate the surface area of the prism:
Surface Area = 2*(30) + (32)*(12) = 60 + 384 = 444 square units

Therefore, the correct answer choice is not among the given options. If you need to round it to the nearest integer, it would be 444.