Count the cubes in each 3D shape and write the total number.
Worksheet with 12 shapes made of cubes; students count cubes and write the number beside each shape.
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Show Answer Key & Explanations
Step-by-step solution for: Volume Cube Worksheet Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Volume Cube Worksheet Worksheets
To find the total number of cubes for each shape, we can break them down into layers or sections. It is often easier to count the full rectangular blocks first and then add the extra pieces.
Here is the step-by-step counting for each problem:
1. This is a large square block.
* The front face is 5 cubes wide and 5 cubes high ($5 \times 5 = 25$).
* The block is 4 cubes deep.
* Total: $25 \times 4 = 100$.
2. This shape has two layers.
* Bottom layer: It is 8 cubes long and 3 cubes wide. ($8 \times 3 = 24$)
* Top layer: It sits on the left side, 5 cubes long and 3 cubes wide. ($5 \times 3 = 15$)
* Total: $24 + 15 = 39$.
3. Let's count by vertical columns from left to right.
* Left column: 3 cubes high $\times$ 2 wide = 6.
* Middle column: 2 cubes high $\times$ 2 wide = 4.
* Right column: 1 cube high $\times$ 2 wide = 2.
* Total: $6 + 4 + 2 = 12$.
4. Break this into a bottom block and a top block.
* Bottom block: 6 wide, 4 deep, 3 high. ($6 \times 4 \times 3 = 72$)
* Top block: Sits on the left. 3 wide, 4 deep, 2 high. ($3 \times 4 \times 2 = 24$)
* Total: $72 + 24 = 96$.
5. This is a large cube with a small piece missing from the top right corner.
* Imagine the full cube is $5 \times 5 \times 5 = 125$.
* The missing part is a $1 \times 1 \times 2$ notch (1 wide, 1 deep, 2 high). So, 2 cubes are missing.
* Total: $125 - 2 = 123$.
6. Count the columns from front to back.
* Front column: 3 cubes.
* Back column: 4 cubes.
* Total: $3 + 4 = 7$.
7. Split into left and right sections.
* Left section: 4 wide, 3 deep, 4 high. ($4 \times 3 \times 4 = 48$)
* Right section: 2 wide, 3 deep, 3 high. ($2 \times 3 \times 3 = 18$)
* Total: $48 + 18 = 66$.
8. Split into a main block and a smaller extension.
* Main block (left): 6 wide, 4 deep, 4 high. ($6 \times 4 \times 4 = 96$)
* Extension (right): 3 wide, 4 deep, 1 high. ($3 \times 4 \times 1 = 12$)
* Total: $96 + 12 = 108$.
9. Split vertically into a tall tower and a short base.
* Tall tower (left): 5 wide, 4 deep, 7 high. ($5 \times 4 \times 7 = 140$)
* Short base (right): 2 wide, 4 deep, 2 high. ($2 \times 4 \times 2 = 16$)
* Total: $140 + 16 = 156$.
10. Count by vertical slices from left to right.
* Left slice: 2 wide, 2 deep, 4 high. ($2 \times 2 \times 4 = 16$)
* Right slice: 1 wide, 2 deep, 2 high. ($1 \times 2 \times 2 = 4$)
* Total: $16 + 4 = 20$.
11. Count by horizontal layers.
* Bottom layer: 6 long, 2 deep. ($6 \times 2 = 12$)
* Middle layer: 4 long, 2 deep. ($4 \times 2 = 8$)
* Top layer: 2 long, 2 deep. ($2 \times 2 = 4$)
* Total: $12 + 8 + 4 = 24$.
12. Split into a back wall and a front step.
* Back part: 5 wide, 2 deep, 4 high. ($5 \times 2 \times 4 = 40$)
* Front part: 5 wide, 2 deep, 2 high. ($5 \times 2 \times 2 = 20$)
* Total: $40 + 20 = 60$.
Final Answer:
1. 100
2. 39
3. 12
4. 96
5. 123
6. 7
7. 66
8. 108
9. 156
10. 20
11. 24
12. 60
Here is the step-by-step counting for each problem:
1. This is a large square block.
* The front face is 5 cubes wide and 5 cubes high ($5 \times 5 = 25$).
* The block is 4 cubes deep.
* Total: $25 \times 4 = 100$.
2. This shape has two layers.
* Bottom layer: It is 8 cubes long and 3 cubes wide. ($8 \times 3 = 24$)
* Top layer: It sits on the left side, 5 cubes long and 3 cubes wide. ($5 \times 3 = 15$)
* Total: $24 + 15 = 39$.
3. Let's count by vertical columns from left to right.
* Left column: 3 cubes high $\times$ 2 wide = 6.
* Middle column: 2 cubes high $\times$ 2 wide = 4.
* Right column: 1 cube high $\times$ 2 wide = 2.
* Total: $6 + 4 + 2 = 12$.
4. Break this into a bottom block and a top block.
* Bottom block: 6 wide, 4 deep, 3 high. ($6 \times 4 \times 3 = 72$)
* Top block: Sits on the left. 3 wide, 4 deep, 2 high. ($3 \times 4 \times 2 = 24$)
* Total: $72 + 24 = 96$.
5. This is a large cube with a small piece missing from the top right corner.
* Imagine the full cube is $5 \times 5 \times 5 = 125$.
* The missing part is a $1 \times 1 \times 2$ notch (1 wide, 1 deep, 2 high). So, 2 cubes are missing.
* Total: $125 - 2 = 123$.
6. Count the columns from front to back.
* Front column: 3 cubes.
* Back column: 4 cubes.
* Total: $3 + 4 = 7$.
7. Split into left and right sections.
* Left section: 4 wide, 3 deep, 4 high. ($4 \times 3 \times 4 = 48$)
* Right section: 2 wide, 3 deep, 3 high. ($2 \times 3 \times 3 = 18$)
* Total: $48 + 18 = 66$.
8. Split into a main block and a smaller extension.
* Main block (left): 6 wide, 4 deep, 4 high. ($6 \times 4 \times 4 = 96$)
* Extension (right): 3 wide, 4 deep, 1 high. ($3 \times 4 \times 1 = 12$)
* Total: $96 + 12 = 108$.
9. Split vertically into a tall tower and a short base.
* Tall tower (left): 5 wide, 4 deep, 7 high. ($5 \times 4 \times 7 = 140$)
* Short base (right): 2 wide, 4 deep, 2 high. ($2 \times 4 \times 2 = 16$)
* Total: $140 + 16 = 156$.
10. Count by vertical slices from left to right.
* Left slice: 2 wide, 2 deep, 4 high. ($2 \times 2 \times 4 = 16$)
* Right slice: 1 wide, 2 deep, 2 high. ($1 \times 2 \times 2 = 4$)
* Total: $16 + 4 = 20$.
11. Count by horizontal layers.
* Bottom layer: 6 long, 2 deep. ($6 \times 2 = 12$)
* Middle layer: 4 long, 2 deep. ($4 \times 2 = 8$)
* Top layer: 2 long, 2 deep. ($2 \times 2 = 4$)
* Total: $12 + 8 + 4 = 24$.
12. Split into a back wall and a front step.
* Back part: 5 wide, 2 deep, 4 high. ($5 \times 2 \times 4 = 40$)
* Front part: 5 wide, 2 deep, 2 high. ($5 \times 2 \times 2 = 20$)
* Total: $40 + 20 = 60$.
Final Answer:
1. 100
2. 39
3. 12
4. 96
5. 123
6. 7
7. 66
8. 108
9. 156
10. 20
11. 24
12. 60
Parent Tip: Review the logic above to help your child master the concept of volume of composite figures worksheet 5th grade.
