Do you often feel confused when your child starts learning about geometric shapes at school? One topic that often comes up is cubes and volume calculations.
This topic is actually quite relevant to everyday life, especially when considering box-shaped objects. According to Nur Laila Indah Sari’s book ” The Fun of Learning Flat-Sided Spaces ,” a cube is a geometric shape in mathematics that has volume or volume.
Therefore, children need lots of practice problems to become more accustomed to the formula and not just memorize it, Mom. With frequent practice, children will also become more familiar with applying the cube volume formula to various problems.
Come on, let’s look at the collection of cube volume questions and answer keys below.
Cube volume formula
Before moving on to practice problems, it’s a good idea for children to first understand the basics of calculating the volume of a cube. According to the textbook “SMP Grade VIII Mathematics” by Drs. Marsigit, MA, et al., the volume of a cube can actually be calculated using the concept of the area of the base multiplied by the height.
The formula for the volume of a cube = area of the base × height
= s² × s
= s³
In addition, the most commonly used formula is V = s × s × s or V = s³.
Information:
V = volume
s = length of the side of the cube
Characteristics of a cube
A cube is a geometric shape whose sides are all square and the same size, and whose edges are all the same length, Mom.
Quoted from the book Model Syllabus for Elementary School Class 5 by the Author Team, the following are the characteristics of a cube:
- Has six sides of equal size in the shape of a square
- Has eight corner points with right angles (90 degrees)
- It has 12 edges of equal length, 12 side diagonals, and 4 space diagonals of equal length.
30 questions on the volume of a cube complete with answer keys
Quoted from the book Bank of Mathematics Questions for Elementary School/Islamic Elementary School Grades 4, 5, & 6 by Uly Amalia, et al., the book of Mathematics Practice Questions by Supadi, S.Si., M.Si., and various other sources, here is a collection of questions on the volume of a cube complete with answer keys.
1. The volume of a cube with a side length of 4 cm is…
Answer key : 64 cm³
Discussion :
V = sxsxs
= 4 x 4 x 4
= 64 cm³
2. It is known that the edge length of the cube ABCD EFGH is 4 cm. If the edge of the cube is extended to 8 cm, the change in the volume of the cube is…
Answer key : 448 cm³
Discussion :
It is known that the cube ABCD EFGH has a side length of 4 cm.
The initial volume of the cube can be calculated using the formula V = s × s × s, so V = 4 × 4 × 4 = 64 cm³.
Then, the edge of the cube is extended to 8 cm. The new volume of the cube is V = 8 × 8 × 8 = 512 cm³.
Change in volume of cube = new volume − initial volume = 512 − 64 = 448 cm³.
So, the change in the volume of the cube is 448 cm³.
3. A cube has a side length of 6 cm. What is the volume of the cube?
Answer key : 216 cm³
Discussion :
V = sxsxs
V = 6 x 6 x 6
V = 216 cm³
So, the volume of a cube is 216 cm³.
4. It is known that there is a piece of wood in the shape of a cube with a side length of 12 cm. What is the volume of the cube?
Answer key : 1,728 cm³
Discussion:
V = sxsxs
V = 12 x 12 x 12
V = 1,728 cm³
So, the volume of a cube is 1,728 cm³.
5. If a cube has a side length of 10 cm, calculate the volume of the cube!
Answer key : 1,000 cm³
Discussion :
V = sxsxs
V = 10 x 10 x 10
V = 1,000 cm³
So, the volume of the cube is 1,000 cm³.
6. A concrete block is to be cast in the shape of a cube with a side length of 2 meters. What volume of concrete is used to cast the concrete block?
Answer key : 8 m³
Discussion :
V = sxsxs
V = 2 x 2 x 2
V = 8 m³
So, the volume of the concrete cube is 8 m³.
7. If a cube has a width of 30 cm, what is its volume?
Answer key : 27,000 cm³
Discussion :
V = sxsxs
V = 30 x 30 x 30
V = 27,000 cm³
So, the volume of the cube is 27,000 cm³.
8. A cube has a side length of 35 cm. What is the volume of the cube?
Answer key : 42,875 cm³
Discussion :
V = s × s × s
V = 35 × 35 × 35
V = 42,875 cm³
So, the volume of the cube is 42,875 cm³.
9. What is the volume of a cube with a side length of 10 cm?
Answer key : 1,000 cm³
Discussion :
V = s × s × s
V = 10 × 10 × 10
V = 1,000 cm³
So, the volume of the cube is 1,000 cm³.
10. Calculate the volume of a cube that has a width of 24 cm!
Answer key : 13,824 cm³
Discussion :
V = sxsxs
V = 24 x 24 x 24
V = 13,824 cm³
So, the volume of the cube is 13,824 cm³.
11. An ice cube has a side length of 12 cm. What is the volume of the ice cube?
Answer key : 1,728 cm³
Discussion :
V = s × s × s
V = 12 × 12 × 12
V = 1,728 cm³
So, the volume of the ice is 1,728 cm³.
12. A cubic-shaped bathtub has a side length of 12 dm. The volume of the bathtub is…
Answer key : 1.728 dm³
Discussion :
It is known that side (s) = 12 dm.
The volume of a cube is calculated using the formula V = s³.
V = 12³
V = 12 × 12 × 12
V = 144 × 12
V = 1,728 dm³
So, the volume of the bathtub is 1,728 dm³.
13. There are two cubes with different volumes. The volume of cube A is 7³ cm³ and the volume of cube B is 4³ cm³. What is the difference in volume between the two cubes?
Answer key : 279 cm³
Discussion :
Volume of cube A = 7³ = 7 × 7 × 7 = 343 cm³
Volume of cube B = 4³ = 4 × 4 × 4 = 64 cm³
The difference in volume of the two cubes = 343 − 64 = 279 cm³
So, the difference in volume between the two cubes is 279 cm³.
14. There is a cube-shaped bathtub with a side length of 90 cm. What is the volume of the bathtub?
Answer key : 729,000 cm³
Discussion :
Volume of bathtub = volume of cube
= s × s × s
= 90 cm × 90 cm × 90 cm
= 90³ cm³
= 729,000 cm³
So, the volume of the bathtub is 729,000 cm³.
15. A trader has a carton of pencils in stock. The carton is cube-shaped with a side length of 20 cm. What is the volume of the carton?
Answer key : 8,000 cm³
Discussion :
V = s × s × s
V = 20 × 20 × 20
V = 8,000 cm³
So, the volume of the cardboard is 8,000 cm³.
16. Father made a cube-shaped aquarium with a side length of 60 cm. The volume of the aquarium is…
Answer key : 216,000 cm³
Discussion :
It is known that the aquarium is in the shape of a cube with a side length of 60 cm.
The volume of a cube is calculated using the formula V = s × s × s.
V = 60 × 60 × 60
V = 216,000 cm³
So, the volume of the aquarium is 216,000 cm³.
17. A box is shaped like a cube with a side length of 24 cm. What is the volume of the box?
Answer key : 13,824 cm³
Discussion :
V = s × s × s
V = 24 × 24 × 24
V = 13,824 cm³
So, the volume of the box is 13,824 cm³.
18. Calculate the volume of a cube, if the length of its edge is 27 cm. Then the volume is…cm³.
Answer key : 19,683 cm³
Discussion :
It is known that s = 27 cm
V = s x s x s
= 27 cm x 27 cm x 27 cm
= 19,683 cm³
So, the volume of the cube is 19,683 cm³.
19. Calculate the volume of a cube, if the length of its edge is 10 cm. Then the volume is…cm³.
Answer key : 1,000 cm³
Discussion :
It is known that s = 10 cm
V = s x s x s
= 10 cm x 10 cm x 10 cm
= 1,000 cm³
So, the volume of the cube is 1,000 cm³.
20. Try calculating the volume of a cube, if the length of its edge is 40 cm. Then the volume is…cm³
Answer key : 64,000 cm³
Discussion :
It is known that s = 40 cm
V = s x s x s
= 40 cm x 40 cm x 40 cm
= 64,000 cm³
So, the volume of the cube is 64,000 cm³.
21. Calculate the volume of a cube, if the length of its edge is 16 cm. Then the volume is…cm³
Answer key : 4,096 cm³
Discussion :
It is known that s = 16 cm
V = s x s x s
= 16 cm x 16 cm x 16 cm
= 4,096 cm³
So, the volume of the cube is 4,096 cm³.
22. If one side of a cube is 8 cm long, what is its volume?
Answer key : 512 cm³
Discussion :
Volume = sxsxs
V = 8 x 8 x 8
V = 512 cm³
23. A cube has a side length of 13 dm. The volume of the cube is … dm3.
Answer key : 2.197 dm³
Discussion :
It is known that the length of the edge of the cube (s) = 13 dm.
The volume of a cube is calculated using the formula V = s × s × s or V = s³.
V = 13 × 13 × 13
V = 169 × 13
V = 2,197 dm³
So, the volume of the cube is 2,197 dm³.
24. A cube has a side length of 15 cm. What is the volume of the cube?
Answer key : 3,375 cm³
Discussion :
Volume of cube
= s × s × s
= 15 × 15 × 15
= 3.375 cm³
So, the volume of the cube is 3,375 cm³.
25. A cube has a side length of 9 cm. The inside of the cube is filled one-third with water. The remaining part will be filled with oil until it is full. How much oil is needed?
Answer key : 486 cm³
Discussion :
Volume of a cube:
= s × s × s
= 9 × 9 × 9
= 729 cm³
Water filling the cube:
= 1/3 × 729
= 243 cm³
Oils needed:
= 729 − 243
= 486 cm³
So, the amount of oil needed is 486 cm³.
26. The volume of a cube with a side length of 4 cm is…
Answer key : 64 cm³
Discussion :
Volume of a cube = s³
= 4³
= 64 cm³
27. The volume of a cube with a side length of 5 cm is…
Answer key : 125 cm³
Discussion :
It is known that the length of the side of the cube (s) = 5 cm.
The volume of a cube is calculated using the formula V = s × s × s or V = s³.
V = 5 × 5 × 5
V = 25 × 5
V = 125 cm³
So, the volume of the cube is 125 cm³.
28. A water container is shaped like a cube with a side of 34 cm. What is the volume of the cube?
Answer key : 39,304 cm³
Discussion :
It is known that the side of the cube (s) = 34 cm.
Cube volume = s × s × s = s³
V = 34 × 34 × 34
V = 1.156 × 34
V = 39.304 cm³
So, the volume of the cube is 39,304 cm³.
29. If the length of the edge of a cube is 18 cm, then the volume of the cube is…cm³
Answer key : 5,832 cm³
Discussion :
It is known that the edge of the cube (s) = 18 cm.
Cube volume = s × s × s = s³
V = 18 × 18 × 18
V = 324 × 18
V = 5,832 cm³
So, the volume of the cube is 5,832 cm³.
30. Calculate the volume of a cube, if the length of the edge is 100 cm, then the volume is…cm³.
Answer key : 1,000,000 cm³
Discussion :
V = s × s × s
V = 100 × 100 × 100
V = 1,000,000 cm³
That’s a collection of cube volume problems, complete with answer keys. Hopefully, this will be helpful for your child to practice at home, Mom.
