To find the volume of each box, we need to determine its length, width, and height by counting the unit cubes along each dimension. The formula for the volume of a rectangular prism is:
Volume = Length × Width × Height
We will go through each problem step-by-step to verify the expressions.
1) Box 1:
- Count the cubes along the front edge (Length): There are
3 cubes.
- Count the cubes going back into the page (Width): There are
5 cubes.
- Count the cubes going up (Height): There are
3 cubes.
- Expression:
3 × 5 × 3
2) Box 2:
- Count the cubes along the front edge (Length): There are
4 cubes.
- Count the cubes going back into the page (Width): There are
3 cubes.
- Count the cubes going up (Height): There are
3 cubes.
- Expression:
4 × 3 × 3
3) Box 3:
- Count the cubes along the long front edge (Length): There are
7 cubes.
- Count the cubes going back into the page (Width): There are
3 cubes.
- Count the cubes going up (Height): There are
3 cubes.
- Expression:
7 × 3 × 3
4) Box 4:
- Count the cubes along the front edge (Length): There are
6 cubes.
- Count the cubes going back into the page (Width): There are
2 cubes.
- Count the cubes going up (Height): There are
3 cubes.
- Expression:
6 × 2 × 3
5) Box 5:
- Count the cubes along the front edge (Length): There are
4 cubes.
- Count the cubes going back into the page (Width): There are
3 cubes.
- Count the cubes going up (Height): There are
4 cubes.
- Expression:
4 × 3 × 4
6) Box 6:
- Count the cubes along the long front edge (Length): There are
7 cubes.
- Count the cubes going back into the page (Width): There are
4 cubes.
- Count the cubes going up (Height): There are
4 cubes.
- Expression:
7 × 4 × 4
7) Box 7:
- Count the cubes along the long front edge (Length): There are
8 cubes.
- Count the cubes going back into the page (Width): There are
4 cubes.
- Count the cubes going up (Height): There are
4 cubes.
- Expression:
8 × 4 × 4
8) Box 8:
- Count the cubes along the long front edge (Length): There are
8 cubes.
- Count the cubes going back into the page (Width): There are
4 cubes.
- Count the cubes going up (Height): There are
3 cubes.
- Expression:
8 × 4 × 3
Final Answer:
1. 3×5×3
2. 4×3×3
3. 7×3×3
4. 6×2×3
5. 4×3×4
6. 7×4×4
7. 8×4×4
8. 8×4×3
Parent Tip: Review the logic above to help your child master the concept of printable volume worksheet.
