Calculate Surface Area: 8×5×12 Cuboid Dimensions Problem

Look at the cuboid below.

888555121212

What is the surface area of the cuboid?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the surface area of the box
00:04 Use the formula for calculating the surface area of a box
00:08 2 x (the sum of areas of all faces)
00:15 Substitute the appropriate values into the formula according to the given data and solve
00:30 Solve each multiplication separately
00:39 Sum up
00:46 Here is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Look at the cuboid below.

888555121212

What is the surface area of the cuboid?

2

Step-by-step solution

Let's see what rectangles we have:

8*5

8*12

5*12

Let's review the formula for the surface area of a rectangular prism:

(length X width + length X height + width X height) * 2

Now let's substitute all this into the exercise:

(8*5+12*8+12*5)*2=
(40+96+60)*2=
196*2= 392

This is the solution!

3

Final Answer

392 cm²

Practice Quiz

Test your knowledge with interactive questions

A cuboid is shown below:

222333555

What is the surface area of the cuboid?

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