Surface Area of a Cuboid: Applying the formula

A cuboid is shown below:

What is the surface area of the cuboid?

Remember that the formula for the surface area of a cuboid is:

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

We input the known data into the formula:

2*(3*2+2*5+3*5)

2*(6+10+15)

2*31 = 62

62

Look at the cuboid below.

What is its surface area?

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

or

(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

Look at the cuboid below.

What is the surface area of the cuboid?

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!
 

392 cm²

Look at the the cuboid below.

What is its surface area?

First, we recall the formula for the surface area of a cuboid:

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

As in the cuboid the opposite faces are equal to each other, the given data is sufficient to arrive at a solution.

We replace the data in the formula:

(8*5+3*5+8*3) *2 =

(40+15+24) *2 =

79*2 = 

158

158

An unfolded cuboid is shown below.

What is the surface area of the cuboid?

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!

70

Calculate the surface area of the orthohedron below using the data in the diagram.

62

Given the cuboid whose square base is of size 25 cm²,

The height of the cuboid is 3 cm,

What is the surface area of the cuboid?

110 cm²

A rectangular prism has a square base measuring 25 cm.

It has a height is equal to 3 cm.

Calculate the surface area of the rectangular prism.

110

Calculate the surface area of the box shown in the diagram.

Pay attention to the units of measure!

724

The length of each edge in the cube is 8 cm.

Calculate the volume and area of the cube.

$V=512,S=384$