# 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 length 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.**

*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 cm ^{3}**

### 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.

*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 *a***³ which means side × side × side where side = a.**

So, volume of the carton box = *a*³ = 4³ = 4 × 4 × 4 **= 64 cm³**

### Square Prism

When any two sides of a cuboid are same, it can also be called as a square prism

**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?

- 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.

- What is the volume of a wooden dice of side of length 5 mm?

- A cube has a volume of 81 cm
^{3}. What is the length of each side of the cube?

##### Answer key

- 27 cm
^{3} - 49280 m
^{3} - 792 cm
^{3} - 125 mm
^{3} - 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!*

Learn more about Scientific Method and other important topics with 7th Grade Science Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules and convenience of learning from home.

## Pricing for Online Tutoring

Tutoring Package | Validity | Grade (1-12), College |
---|---|---|

5 sessions | 1 Month | $124 |

1 session | 1 Month | $25 |

10 sessions | 3 months | $239 |

15 sessions | 3 months | $354 |

20 sessions | 4 months | $449 |

50 sessions | 6 months | $1049 |

100 sessions | 12 months | $2049 |