Question

The surface area of a triangular prism is S.A.=
+(S1+S2+S3)

Answer 1

Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)
The surface area of a triangular prism is S.A.=
+(S1+S2+S3)

Answer 2

where S1, S2, and S3 are the areas of the three rectangular faces of the prism, and the plus sign indicates to add them together.

The formula for the area of a rectangle is length x width, so the area of each rectangular face can be found by multiplying the base (which is one of the sides of the triangle) by the height of the prism.

The formula for the area of a triangle is 1/2 x base x height, so the total surface area of the prism can also be found by adding the areas of the two triangular faces, which can be calculated using the base and height of the triangle, and then multiplying each by two (since there are two triangular faces).

Therefore, the surface area of a triangular prism is given by:

S.A. = 2(1/2 x b1 x h) + 2(1/2 x b2 x h) + 2(l x w)

or simplified:

S.A. = b1h + b2h + 2lw

Answer 3

+2B