Find the lateral surface area of a square base prism with a length of 6 ft. and a height of 12 ft.

Answer 1

To find the lateral surface area of a square base prism, we first need to find the perimeter of the base and then multiply it by the height.

The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square. In this case, the length of the side of the square base is 6 ft, so the perimeter is P = 4(6) = 24 ft.

Now we can find the lateral surface area by multiplying the perimeter of the base by the height of the prism:

Lateral Surface Area = Perimeter of base x height
Lateral Surface Area = 24 ft x 12 ft
Lateral Surface Area = 288 sq ft

Therefore, the lateral surface area of the square base prism is 288 square feet.