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Finally, add the area of the large rectangle and the area of the two bases to find the surface area of the rectangular prism.

Net of rectangular prism with side lengths labeled. The length of the longer rectangle is made up of the side lengths 2 units, 6 units, 2 units and 6 units. The width of the long rectangle is 4 units. The bases each measure 6 units by 2 units.
The area of the long rectangle is 64 square units.
The area of one base is 12 square units.

The surface area of the rectangular prism is
square units.

1 answer

To find the surface area of the rectangular prism, we need to add the area of the large rectangle and the area of the two bases.

  1. Area of the Large Rectangle: Given as 64 square units.
  2. Area of One Base: Given as 12 square units.

Since there are two bases, we will calculate the total area of the bases:

  • Area of Two Bases = 2 × Area of One Base = 2 × 12 square units = 24 square units.

Now we can find the total surface area:

  • Surface Area = Area of Large Rectangle + Area of Two Bases
  • Surface Area = 64 square units + 24 square units = 88 square units.

Therefore, the surface area of the rectangular prism is 88 square units.