The area of the front face of a rectangular prism is 12 cm2. The area of the top face is 16 cm2, and the area of the right side face is 20 cm2. What is the surface area of the rectangular prism?
there are three pairs of faces, so 2(12+16+20) = 96 cm^2
12
To find the surface area of a rectangular prism, we need to add up the areas of all the faces.
The front face has an area of 12 cm^2.
The top face has an area of 16 cm^2.
The right side face has an area of 20 cm^2.
Since a rectangular prism has 6 faces, we know the sum of all the areas will give us the total surface area. We already have the area of 3 faces, so we need to find the areas of the remaining 3 faces.
The back face is the same as the front face, so it also has an area of 12 cm^2.
The bottom face is the same as the top face, so it also has an area of 16 cm^2.
The left side face is opposite to the right side face, so it also has an area of 20 cm^2.
Now we can add up all the areas to find the surface area:
12 cm^2 (front face) + 16 cm^2 (top face) + 20 cm^2 (right side face) + 12 cm^2 (back face) + 16 cm^2 (bottom face) + 20 cm^2 (left side face)
Adding all these values together:
12 + 16 + 20 + 12 + 16 + 20 = 96 cm^2
Therefore, the surface area of the rectangular prism is 96 cm^2.