What is the surface area of a rectangular solid with dimensions 6 cm, 8 cm, and 10 cm?

Calculating the Surface Area

To find the surface area of a rectangular solid (also known as a rectangular prism), you can use the formula:

Surface Area = 2(ab + bc + ac)

Where:

  • a = length = 6 cm
  • b = width = 8 cm
  • c = height = 10 cm

Now, we can calculate each component:

  • ab = 6 cm * 8 cm = 48 cm2
  • bc = 8 cm * 10 cm = 80 cm2
  • ac = 6 cm * 10 cm = 60 cm2

Next, we sum these areas:

  • ab + bc + ac = 48 cm2 + 80 cm2 + 60 cm2 = 188 cm2

Now, we multiply the sum by 2:

Surface Area = 2 * 188 cm2 = 376 cm2

Final Result

The surface area of the rectangular solid is 376 cm2.

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