Lesson Worksheet: Volumes of Rectangular Prisms and Cubes Mathematics • 6th Grade

In this worksheet, we will practice calculating volumes of rectangular prisms and cubes given their dimensions and solving problems including real-life situations.


A man needs to store 16,170 cm3 of rice in a container. He has one box which is a cuboid with dimensions of 35 cm, 22 cm, and 21 cm and another box which is a cube with length 22 cm. Which box should he use?

  • Athe cuboid
  • Bthe cube


A cubic glass tank has an inner edge length of 32 cm and is partly filled with water. After a metal disk is placed in the tank, the water level rises by 2 cm. What is the volume of the disk?


A large cube of cheese with edges of length 40 cm is going to be divided into small cubes with edges of length 5 cm. How many small cubes will there be?


The sum of the areas of the faces of a cube is 726 cm2. Calculate the volume of the cube.


The volume of a cube is 0.125 dm3. What is its edge length?


A fish tank with a lid is a cube with an internal edge length of 36 cm. It is made from glass which is 0.5 cm thick. What is the volume of the glass?


Given that the sum of edge lengths of a cube is 111.6 cm, find its volume rounded to the nearest hundredth.


A cube shaped container has length 34 cm. It contains toys which are each packed in a cubic box with length 17 cm. How many toys are in the container?


Find the side length of a cube whose volume is 27512 cm3.

  • A3632 cm
  • B38 cm
  • C27512 cm
  • D964 cm


A cube of clay has length 20 cm. How many smaller cubes of length 2 cm can be made from the clay?

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