Volume of Cubes and Rectangular Prisms
Grade 6 Math Worksheets
How do you write the volume of a cuboid or rectangular prism?
Cuboids are rectangular boxes with different lengths and sides. It has six faces and all angles form right angles.
And all of its faces are rectangles.
It is also called a prism as it has the same cross-section throughout the length. It can be also termed as a rectangular prism. In Geometry, learn how to calculate the area of 2d figures.
![prism-300x168 How do you write the volume of a cuboid or rectangular prism?](jpg/prism-300x168-1.jpg)
![prism1](https://www.etutorworld.com/wp-content/uploads/2018/06/prism1.jpg)
Example: Calculate the volume of cuboid of length 22 cm, height 10 cm and width 8 cm.
Volume = L × H × W
Volume of cuboid = 22 × 10 × 8 = 1760 cm3
How do you write the volume of a cube?
A cube is a box with 6 faces which has equal side lengths all over. Each face of the cube is a square. So, the length, width and height of a cube are all same.
![Cube](https://www.etutorworld.com/wp-content/uploads/2018/03/prism4.jpg)
![](https://www.etutorworld.com/wp-content/uploads/2018/03/prism5.jpg)
Example: Jill is packing a carton box with confetti’s. She wants to know the volume of the cubical box to fill it up. She knows that the side of box measures 4 cm.
Volume of cube is denoted by a³ which means side × side × side where side = a.
So, volume of the carton box = a³ = 4³ = 4 × 4 × 4 = 64 cm³
![carton box](https://www.etutorworld.com/wp-content/uploads/2018/03/prism6.jpg)
Square Prism
When any two sides of a cuboid are same, it can also be called as a square prism
![Square prism](https://www.etutorworld.com/wp-content/uploads/2018/03/prism7.jpg)
![prism8](https://www.etutorworld.com/wp-content/uploads/2018/06/prism8.jpg)
Check Point
- Find the volume of a cube of side 3 cm.
- What is the volume of a swimming pool if length is 40 m, width is 56 m, and depth is 22 m?
![Swimming Pool](https://www.etutorworld.com/wp-content/uploads/2018/03/prism9.jpg)
- Jerald wants to find out the volume of a metallic tool box which has a width of 11 cm, depth of 8 cm and length of 9 cm.
![Tool Box](https://www.etutorworld.com/wp-content/uploads/2018/03/prism11.jpg)
- What is the volume of a wooden dice of side of length 5 mm?
![Dice](https://www.etutorworld.com/wp-content/uploads/2018/03/prism12.jpg)
- A cube has a volume of 81 cm3. What is the length of each side of the cube?
Answer key
- 27 cm3
- 49280 m3
- 792 cm3
- 125 mm3
- 9 cm
Personalized Online Tutoring
eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.
For answers/solutions to any question or to learn concepts, take a FREE Demo Session.
No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!
Pricing for Online Tutoring
Tutoring Package | Validity | Grade (1-12), College |
---|---|---|
5 sessions | 1 Month | $139 |
1 session | 1 Month | $28 |
10 sessions | 3 months | $269 |
15 sessions | 3 months | $399 |
20 sessions | 4 months | $499 |
50 sessions | 6 months | $1189 |
100 sessions | 12 months | $2249 |
IN THE NEWS
![Logo-eTutorWorld-wordmark-white](https://www.etutorworld.com/wp-content/uploads/2020/07/Logo-eTutorWorld-wordmark-white.png)
Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.
Online test prep and practice
SCAT
CogAT
SSAT
ISEE
PSAT
SAT
ACT
AP Exam
Science Tutoring
Physics Tutoring
Chemistry Tutoring
Biology Tutoring
Math Tutoring
Pre-Algebra Tutoring
Algebra Tutoring
Pre Calculus Tutoring
Calculus Tutoring
Geometry Tutoring
Trigonometry Tutoring
Statistics Tutoring
Quick links
Free Worksheets
Fact sheet
Sales Partner Opportunities
Parents
Passive Fundraising
Virtual Fundraising
Our Expert Tutors
Safe and Secure Tutoring
Interactive Online Tutoring
After School Tutoring
Elementary School Tutoring
Middle School Tutoring
High School Tutoring
Home Work Help
Math Tutors New York City
Press
©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird
©2022 eTutorWorld
Terms of use
Privacy Policy
Site by Little Red Bird