To find the volume of a rectangular prism (a box shape), you multiply the three dimensions together:
Volume = Length × Width × Height
Let's solve each problem row by row.
Row 1
1.
First Box:
* Dimensions: $4\text{ cm}$, $3\text{ cm}$, $6\text{ cm}$
* Calculation: $4 \times 3 \times 6$
* $4 \times 3 = 12$
* $12 \times 6 = 72$
*
Volume = $72\text{ cm}^3$
2.
Second Box:
* Dimensions: $8\text{ mm}$, $2\text{ mm}$, $3\text{ mm}$
* Calculation: $8 \times 2 \times 3$
* $8 \times 2 = 16$
* $16 \times 3 = 48$
*
Volume = $48\text{ mm}^3$
3.
Third Box (Cube):
* Dimensions: $5\text{ cm}$, $5\text{ cm}$, $5\text{ cm}$
* Calculation: $5 \times 5 \times 5$
* $5 \times 5 = 25$
* $25 \times 5 = 125$
*
Volume = $125\text{ cm}^3$
---
Row 2
4.
Fourth Box:
* Dimensions: $5\text{ m}$, $4\text{ m}$, $4\text{ m}$
* Calculation: $5 \times 4 \times 4$
* $5 \times 4 = 20$
* $20 \times 4 = 80$
*
Volume = $80\text{ m}^3$
5.
Fifth Box:
* Dimensions: $5\text{ cm}$, $2\text{ cm}$, $8\text{ cm}$
* Calculation: $5 \times 2 \times 8$
* $5 \times 2 = 10$
* $10 \times 8 = 80$
*
Volume = $80\text{ cm}^3$
6.
Sixth Box:
* Dimensions: $3\text{ m}$, $3\text{ m}$, $10\text{ m}$
* Calculation: $3 \times 3 \times 10$
* $3 \times 3 = 9$
* $9 \times 10 = 90$
*
Volume = $90\text{ m}^3$
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Row 3
7.
Seventh Box:
* Dimensions: $7\text{ cm}$, $4\text{ cm}$, $5\text{ cm}$
* Calculation: $7 \times 4 \times 5$
* $7 \times 4 = 28$
* $28 \times 5 = 140$
*
Volume = $140\text{ cm}^3$
8.
Eighth Box (Cube):
* Dimensions: $4\text{ mm}$, $4\text{ mm}$, $4\text{ mm}$
* Calculation: $4 \times 4 \times 4$
* $4 \times 4 = 16$
* $16 \times 4 = 64$
*
Volume = $64\text{ mm}^3$
9.
Ninth Box:
* Dimensions: $8\text{ m}$, $2\text{ m}$, $4\text{ m}$
* Calculation: $8 \times 2 \times 4$
* $8 \times 2 = 16$
* $16 \times 4 = 64$
*
Volume = $64\text{ m}^3$
Final Answer:
Row 1:
Volume = $72\text{ cm}^3$
Volume = $48\text{ mm}^3$
Volume = $125\text{ cm}^3$
Row 2:
Volume = $80\text{ m}^3$
Volume = $80\text{ cm}^3$
Volume = $90\text{ m}^3$
Row 3:
Volume = $140\text{ cm}^3$
Volume = $64\text{ mm}^3$
Volume = $64\text{ m}^3$
Parent Tip: Review the logic above to help your child master the concept of volume rectangular prisms worksheet.