Explanation:
To find the volume of a rectangular prism, you multiply its length, width, and height. The formula is:
Volume = length × width × height
All the shapes in the worksheet are rectangular prisms. The measurements are given in different metric units (cm, mm, m), so we need to make sure all units are the same before multiplying. But since the answer is expected in cubic units, we can just multiply the numbers and keep the unit as is (e.g., cm × cm × cm = cm³).
Let’s go through each one:
1. First prism: 4 cm × 3 cm × 6 cm
Volume = 4 × 3 × 6 = 72 cm³
2. Second prism: 8 mm × 2 mm × 3 mm
Volume = 8 × 2 × 3 = 48 mm³
3. Third prism: 5 cm × 5 cm × 5 cm
Volume = 5 × 5 × 5 = 125 cm³
4. Fourth prism: 5 m × 4 m × 4 m
Volume = 5 × 4 × 4 = 80 m³
5. Fifth prism: 5 cm × 2 cm × 8 cm
Volume = 5 × 2 × 8 = 80 cm³
6. Sixth prism: 3 m × 3 m × 10 m
Volume = 3 × 3 × 10 = 90 m³
7. Seventh prism: 7 cm × 4 cm × 5 cm
Volume = 7 × 4 × 5 = 140 cm³
8. Eighth prism: 4 mm × 4 mm × 4 mm
Volume = 4 × 4 × 4 = 64 mm³
9. Ninth prism: 8 m × 2 m × 4 m
Volume = 8 × 2 × 4 = 64 m³
Final Answer:
The volumes are:
1. 72 cm³
2. 48 mm³
3. 125 cm³
4. 80 m³
5. 80 cm³
6. 90 m³
7. 140 cm³
8. 64 mm³
9. 64 m³
Parent Tip: Review the logic above to help your child master the concept of volume rectangular prism worksheet.