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

Question

An unfolded cuboid is shown below.

What is the surface area of the cuboid?

888111333

Video Solution

Solution Steps

00:00 Find the surface area of the box
00:03 We'll use the formula to calculate the surface area of a box
00:07 2 times (sum of face areas)
00:16 We'll substitute appropriate values and solve for the surface area
00:44 We'll solve each multiplication separately and sum them
01:03 And this is the solution to the problem

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!

Answer

70