Surface area of cubes and rectangular prisms quick check use the image to answer the question solve for the surface area of the rectangular prism on the base we have 12 inches on the right side. We had 5 inches and on the right on the right it goes up and down. That’s 3 inches is the answer 180 in.² 111 in.² 270 in.² are 222 in.²

1 answer

To find the surface area of a rectangular prism, we need to find the area of each of the six faces and then add them up.

The rectangular prism in the image has dimensions of:
- Length: 12 inches
- Width: 5 inches
- Height: 3 inches

To find the surface area:
- The front and back faces (which are the same size) each have an area of 12 inches * 3 inches = 36 in²
- The top and bottom faces (which are the same size) each have an area of 12 inches * 5 inches = 60 in²
- The left and right side faces (which are the same size) each have an area of 5 inches * 3 inches = 15 in²

Now add up all the areas:
36 in² (front) + 36 in² (back) + 60 in² (top) + 60 in² (bottom) + 15 in² (left) + 15 in² (right) = 222 in²

Therefore, the surface area of the rectangular prism is 222 in².
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