Examples with solutions for Volume of a Orthohedron: Applying the formula

Exercise #1

Calculate the volume of the cuboid

If its length is equal to 7 cm:

Its width is equal to 3 cm:

Its height is equal to 5 cm:

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Video Solution

Step-by-Step Solution

The formula to calculate the volume of a cuboid is:

height*length*width

We replace the data in the formula:  

3*5*7

7*5 = 35

35*3 = 105

Answer

105 cm³

Exercise #2

Given the cuboid of the figure:

333151515

The area of the base of the cuboid is 15 cm²,

The length of the lateral edge is 3 cm.

what is the volume of the cuboid

Video Solution

Step-by-Step Solution

To calculate the volume of a cuboid, as we mentioned, we need the length, width, and height.

It is important to note that in the exercise we are given the height and the base area of the cuboid.

The base area is actually the area multiplied by the length. That is, it is the data that contains the two pieces of information we are missing.

Therefore, we can calculate the area by height * base area

15*3 = 45

This is the solution!

Answer

45 cm²

Exercise #3

A cuboid has a length of is 9 cm.

It is 4 cm wide and 5 cm high.

Calculate the volume of the cube.

555444999

Video Solution

Answer

180 cm³

Exercise #4

A cuboid is 9 cm long, 4 cm wide, and 5 cm high.

Calculate the volume of the cube.

555999444

Video Solution

Answer

180 cm³

Exercise #5

A rectangular prism has a base measuring 5 units by 8 units.

The height of the prism is 12 units.

Calculate its volume.

121212888555

Answer

480

Exercise #6

Below is a cuboid with a length of

8 cm.

Its width is 2 cm and its height is

4 cm.

Calculate the volume of the cube.

222888444

Video Solution

Answer

64 cm³

Exercise #7

Calculate the volume of the rectangular prism below using the data provided.

888333222

Video Solution

Answer

48

Exercise #8

Calculate the volume of the rectangular prism below using the data provided. 444555999

Video Solution

Answer

180

Exercise #9

Given the cuboid of the figure:

555999444

What is its volume?

Video Solution

Answer

180

Exercise #10

Look at the cuboid below:

888555121212

What is the volume of the cuboid?

Video Solution

Answer

480 cm²

Exercise #11

Shown below is a cuboid with a length of 8 cm.

Its width is 2 cm and its height is 4 cm.

Calculate the volume of the cube.

444888222

Video Solution

Answer

64 cm³

Exercise #12

Given an cuboid such that its base is a square.

The length of the side of the base is equal to 8 cm

The length of the height is equal to 5 cm

Find the volume of the cuboid

Video Solution

Answer

320 320

Exercise #13

Given an cuboid such that its length is equal to 15 cm

Width is equal to 16 cm

Height is equal to 10 cm

Find the volume of the cuboid

Video Solution

Answer

2400 2400

Exercise #14

Given the cuboid whose height is equal to 9 cm

Length is equal to 8 cm

Width is equal to 10 cm

Find the volume of the cuboid

Video Solution

Answer

720 720