What is the formula for the surface area of a prism?

What is the formula for the surface area of a prism?

• A. Surface Area = 2 × Base Area + Base Perimeter × Length
• B. Surface Area = 3 × Base Area
• C. Surface Area = Base Area × Height
• D. Surface Area = Base Area + Height

Answer: (A)

The formula for the surface area of a prism is indeed represented by the expression that combines the areas of the bases and the lateral surface area. Specifically, the correct formula states that the surface area is equal to twice the area of the base (which accounts for both the top and bottom faces of the prism) plus the perimeter of the base multiplied by the length of the prism (which adds up the area of the rectangular sides that connect the two bases). This approach effectively captures the total area exposed on the outside of the prism. The two times the base area ensures that you are including both the bottom and top faces, while the product of the base perimeter and length accounts for the encasing faces which connect those bases. The other choices do not fully encompass the necessary components to calculate the surface area of a prism. Some only consider individual areas or dimensions without framing them in relation to both bases and lateral sides. Option A comprehensively addresses all surfaces of the prism, making it the correct choice.

The formula for the surface area of a prism is indeed represented by the expression that combines the areas of the bases and the lateral surface area. Specifically, the correct formula states that the surface area is equal to twice the area of the base (which accounts for both the top and bottom faces of the prism) plus the perimeter of the base multiplied by the length of the prism (which adds up the area of the rectangular sides that connect the two bases).

This approach effectively captures the total area exposed on the outside of the prism. The two times the base area ensures that you are including both the bottom and top faces, while the product of the base perimeter and length accounts for the encasing faces which connect those bases.

The other choices do not fully encompass the necessary components to calculate the surface area of a prism. Some only consider individual areas or dimensions without framing them in relation to both bases and lateral sides. Option A comprehensively addresses all surfaces of the prism, making it the correct choice.