Test questions for 7th grade volume of rectangular prisms.

📚 Quick Study Guide

• 🧱 Definition: A rectangular prism is a 3D shape with six rectangular faces. Think of a box!
• 📐 Volume: The volume of a rectangular prism is the amount of space it occupies.
• 📏 Formula: To find the volume ($V$), you multiply the length ($l$), width ($w$), and height ($h$): $V = l \times w \times h$
• ➕ Units: Volume is measured in cubic units (e.g., cm³, m³, in³). Make sure all measurements are in the same units before calculating!
• 💡 Tips: Always write down the formula first, then substitute the values. Double-check your calculations!

📝 Practice Quiz

1. What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?
   1. 6 cm³
   2. 15 cm³
   3. 30 cm³
   4. 50 cm³
2. A rectangular prism has a volume of 48 m³. If its length is 4 m and its width is 3 m, what is its height?
   1. 4 m
   2. 6 m
   3. 8 m
   4. 12 m
3. What happens to the volume of a rectangular prism if you double its length?
   1. The volume is halved.
   2. The volume remains the same.
   3. The volume is doubled.
   4. The volume is quadrupled.
4. A box is 8 inches long, 6 inches wide, and 4 inches high. What is the volume of the box?
   1. 24 in³
   2. 48 in³
   3. 192 in³
   4. 200 in³
5. A rectangular prism has a square base with sides of 5 cm each. If the height of the prism is 10 cm, what is its volume?
   1. 25 cm³
   2. 50 cm³
   3. 250 cm³
   4. 500 cm³
6. A fish tank is 60 cm long, 30 cm wide, and 40 cm high. How much water can it hold?
   1. 7,200 cm³
   2. 18,000 cm³
   3. 72,000 cm³
   4. 130 cm³
7. What is the volume of a cube with side length 7 cm?
   1. 21 cm³
   2. 49 cm³
   3. 294 cm³
   4. 343 cm³