unit 6 lesson 5

surface area of rectangular prisms practice

use the image to answer the question
1mm,4.5mm, 5mm

what is the surface area of the rectangular prism?

_ mm^2

1 answer

To find the surface area of a rectangular prism, you need to calculate the area of each individual face and then add them all together.

First, let's calculate the areas of each face:
- The two smaller faces (top and bottom) have dimensions of 1mm by 4.5mm, so their area is 1mm * 4.5mm = 4.5mm^2 each.
- The two larger faces (front and back) have dimensions of 5mm by 4.5mm, so their area is 5mm * 4.5mm = 22.5mm^2 each.
- The two remaining faces (left and right) have dimensions of 5mm by 1mm, so their area is 5mm * 1mm = 5mm^2 each.

Now, sum up all the individual face areas to find the total surface area of the rectangular prism:
Total surface area = 2 * (4.5mm^2) + 2 * (22.5mm^2) + 2 * (5mm^2)
Total surface area = 9mm^2 + 45mm^2 + 10mm^2
Total surface area = 64mm^2

Therefore, the surface area of the rectangular prism is 64 mm^2.
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