Calculate Surface Area: 8×3×1 Cuboid from Net Diagram

An unfolded cuboid is shown below.

What is the surface area of the cuboid?

888111333

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Step-by-step video solution

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00:00 Calculate the surface area of the box
00:03 We'll use the formula to calculate the surface area of a box
00:07 2 x (sum of face areas)
00:16 Substitute appropriate values into the formula and solve for the surface area
00:44 Solve each multiplication separately and add them together
01:03 Here is the solution

Step-by-step written solution

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1

Understand the problem

An unfolded cuboid is shown below.

What is the surface area of the cuboid?

888111333

2

Step-by-step solution

To calculate the surface area of the rectangular prism, we will need to identify its three faces (each face appears twice):

1*3

1*8

3*8

 

The formula for the surface area of a rectangular prism is the sum of all the areas of the faces, that is:

We replace the data in the formula:

2*(1*3+1*8+3*8)=
2*(3+8+24) = 
2*35 = 

70

And this is the solution!

3

Final Answer

70

Practice Quiz

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A cuboid is shown below:

222333555

What is the surface area of the cuboid?

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