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

Question

Look at the cuboid below.

888555121212

What is the surface area of the cuboid?

Video Solution

Solution Steps

00:00 Find the surface area of the box
00:04 Use the formula for calculating the surface area of a box
00:08 2 times (sum of areas of all faces)
00:15 Substitute appropriate values according to the given data and solve
00:30 Solve each multiplication separately
00:39 Sum up
00:46 And this is the solution to the problem

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!
 

Answer

392 cm²