# 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.

Q1:

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

Q2:

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?

Q3:

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?

Q4:

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

Q5:

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

Q6:

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?

Q7:

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

Q8:

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?

Q9:

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

• A cm
• B cm
• C cm
• D cm

Q10:

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