Let's solve the
Volume & Capacity worksheet step by step. The goal is to calculate the
volume of each cube or rectangular prism using the formula:
>
V = l × w × h
> (Volume = Length × Width × Height)
We'll go through each shape one by one, plug in the given dimensions, and compute the volume in
m³ (cubic meters).
---
🔹 Shape 1: Rectangular Prism
- Dimensions: 8m (length), 2m (width), 3m (height)
- V = 8 × 2 × 3 =
48 m³
---
🔹 Shape 2: Cube
- Dimensions: 4m × 4m × 4m
- V = 4 × 4 × 4 =
64 m³
---
🔹 Shape 3: Cube
- Dimensions: 5m × 5m × 5m
- V = 5 × 5 × 5 =
125 m³
---
🔹 Shape 4: Rectangular Prism
- Dimensions: 4m (length), 9m (width), 2m (height)
- V = 4 × 9 × 2 =
72 m³
---
🔹 Shape 5: Rectangular Prism
- Dimensions: 8cm (length), 6cm (width), 4cm (height) → Wait! Units are
cm, but answer is in
m³? Let's check.
⚠️
Important: All other shapes use
meters (m), but this one uses
centimeters (cm). However, the answer box says "m³". That’s inconsistent.
But since the rest are in meters and the worksheet seems to expect consistent units, it's likely a typo — probably meant to be
m instead of
cm.
Assuming it's
meters:
- V = 8 × 6 × 4 =
192 m³
If it's actually
cm, then:
- V = 8 × 6 × 4 = 192 cm³ → But that would not fit the m³ format.
So we’ll assume
meters.
✔ V = 192 m³
---
🔹 Shape 6: Rectangular Prism
- Dimensions: 7m (length), 9m (width), 15m (height)
- V = 7 × 9 × 15 =
945 m³
---
🔹 Shape 7: Rectangular Prism
- Dimensions: 4m (length), 4m (width), 12m (height)
- V = 4 × 4 × 12 =
192 m³
---
🔹 Shape 8: Cube
- Dimensions: 5m × 5m × 5m
- V = 5 × 5 × 5 =
125 m³
---
🔹 Shape 9: Rectangular Prism
- Dimensions: 10m (length), 10m (width), 5m (height)
- V = 10 × 10 × 5 =
500 m³
---
🔹 Shape 10: Cube
- Dimensions: 5m × 5m × 5m
- V = 5 × 5 × 5 =
125 m³
---
🔹 Shape 11: Rectangular Prism
- Dimensions: 4m (length), 5m (width), 2m (height)
- V = 4 × 5 × 2 =
40 m³
---
🔹 Shape 12: Rectangular Prism
- Dimensions: 14m (length), 10m (width), 13m (height)
- V = 14 × 10 × 13 =
1820 m³
---
✔ Final Answers Summary:
| Shape | Volume (m³) |
|-------|-------------|
| 1 | 48 |
| 2 | 64 |
| 3 | 125 |
| 4 | 72 |
| 5 | 192 |
| 6 | 945 |
| 7 | 192 |
| 8 | 125 |
| 9 | 500 |
| 10 | 125 |
| 11 | 40 |
| 12 | 1820 |
---
📝 Instructions for Filling the Worksheet:
For each shape, write:
```
V = l × w × h
V = ___ m³
```
Example for Shape 1:
```
V = 8 × 2 × 3
V = 48 m³
```
Repeat for all others accordingly.
---
🔍 Notes:
- Make sure all units are consistent (all in meters).
- If any shape has different units (e.g., cm), convert to meters first (1 m = 100 cm), but here all seem to be in meters.
- The worksheet appears to be from
www.smartkiddies.com — a resource for math practice.
Let me know if you'd like this as a printable answer key or want help converting units!
Parent Tip: Review the logic above to help your child master the concept of volume of cube and rectangular prism worksheet.
