Test Questions for Solving Volume in Everyday Life (Grade 6)

📚 Quick Study Guide

• 📏 What is Volume? Volume is the amount of space a three-dimensional object occupies. Think of it as how much stuff can fit inside.
• 🔢 Units of Volume: Volume is typically measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³). For liquids, we often use liters (L) or milliliters (mL).
• 🧊 Volume of a Cube: The volume of a cube is found by multiplying the length of one side by itself three times. If 's' is the side length, then the volume ($V$) is: $V = s \times s \times s = s^3$
• 📦 Volume of a Rectangular Prism: The volume of a rectangular prism (like a box) is found by multiplying its length ($l$), width ($w$), and height ($h$). The formula is: $V = l \times w \times h$
• 💧 Volume of a Cylinder: The volume of a cylinder is found by multiplying the area of its circular base by its height ($h$). If the radius of the base is 'r', then the volume is: $V = \pi \times r^2 \times h$
• 💡 Important Conversions: Remember that 1 cm³ = 1 mL and 1 L = 1000 cm³. These conversions are super useful for solving problems!

🧪 Practice Quiz

1. A cube has sides that are 5 cm long. What is its volume?

   1. 15 cm³
   2. 20 cm³
   3. 25 cm³
   4. 125 cm³

2. A rectangular prism is 8 cm long, 4 cm wide, and 3 cm high. What is its volume?

   1. 96 cm³
   2. 24 cm³
   3. 32 cm³
   4. 15 cm³

3. A juice box is 10 cm long, 5 cm wide, and 12 cm high. How much juice does it hold?

   1. 600 cm³
   2. 300 cm³
   3. 150 cm³
   4. 27 cm³

4. A cylindrical can of soup has a radius of 4 cm and a height of 10 cm. What is its volume (approximately, using $\pi \approx 3.14$)?

   1. 502.4 cm³
   2. 125.6 cm³
   3. 160 cm³
   4. 40 cm³

5. An aquarium is 30 cm long, 20 cm wide, and 20 cm high. How many liters of water can it hold? (Remember 1 L = 1000 cm³)

   1. 12 L
   2. 6 L
   3. 60 L
   4. 120 L

6. A sandbox is 2 m long, 1.5 m wide, and 0.3 m high. What is its volume in cubic meters?

   1. 0.9 m³
   2. 3.8 m³
   3. 9 m³
   4. 3.5 m³

7. A glass has a volume of 250 cm³. How many such glasses can be filled from a 2-liter bottle of juice?

   1. 4
   2. 6
   3. 8
   4. 10