Answer :
The surface area of a rectangular prism with dimensions of 11 inches by 8 inches by 2 inches is 252 square inches. This is found by summing the area of all six faces of the prism.
The question requires calculating the surface area of a rectangular prism. To find the surface area of a rectangular prism, we need to calculate the area of all six faces of the prism and sum them up. The formula for finding the surface area of a rectangular prism is S = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. For a prism with a length of 11 inches, a width of 8 inches, and a height of 2 inches:
- Calculate the area of the front and back faces: 2(lh) = 2(11 inches * 2 inches) = 44 square inches.
- Calculate the area of the top and bottom faces: 2(lw) = 2(11 inches * 8 inches) = 176 square inches.
- Calculate the area of the side faces: 2(wh) = 2(8 inches * 2 inches) = 32 square inches.
Add up all these areas to find the total surface area of the prism: 44 + 176 + 32 = 252 square inches. Therefore, the surface area of the prism is 252 square inches.
