So the height of a rectangular prism is 6 in, the length is 12 in, and the width is 9 in, I must ​​Determine the area of the top of the rectangular prism. Determine the area of the side of the rectangular prism. Determine the area of the front of the rectangular prism. What is the total surface area of the rectangular prism?

3 answers

To determine the area of the top of the rectangular prism, you multiply the length by the width:

Area of the top = length x width = 12 in x 9 in = 108 sq in

To determine the area of the side of the rectangular prism, you multiply the height by the length:

Area of the side = height x length = 6 in x 12 in = 72 sq in

To determine the area of the front of the rectangular prism, you multiply the height by the width:

Area of the front = height x width = 6 in x 9 in = 54 sq in

To calculate the total surface area of the rectangular prism, you sum up the areas of all the six faces:

Total surface area = 2(top area) + 2(side area) + 2(front area)
Total surface area = 2(108 sq in) + 2(72 sq in) + 2(54 sq in)
Total surface area = 216 sq in + 144 sq in + 108 sq in
Total surface area = 468 sq in

Therefore, the total surface area of the rectangular prism is 468 square inches.
Your calculations given are correct?
Yes, the calculations provided are correct, and the total surface area of the rectangular prism is 468 square inches.