# 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.

**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 cm^{2}. Calculate the volume of the
cube.

**Q5: **

The volume of a cube is 0.125 dm^{3}. 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 cm^{3}.

- 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?