Calculate Surface Area: 3×3×11 Cuboid with Given Dimensions

Question

Look at the cuboid below.

What is its surface area?

00:00 Find the surface area of the box

00:04 We'll use the formula to calculate the surface area of a box

00:09 2 multiplied by (sum of face areas)

00:15 We'll substitute appropriate values and solve to find the surface area

00:43 We'll solve each multiplication separately and sum up

00:57 And this is the solution to the question

We identified that the faces are

3*3, 3*11, 11*3
As the opposite faces of an cuboid are equal, we know that for each face we find there is another face, therefore:

3*3, 3*11, 11*3

(3*3, 3*11, 11*3 ) *2

To find the surface area, we will have to add up all these areas, therefore:

(3*3+3*11+11*3 )*2

And this is actually the formula for the surface area!

We calculate:

(9+33+33)*2

(75)*2

150

150