Quiz on Volume of 3D Solids: Test Your 10th Grade Skills

📚 Quick Study Guide

• 🧊 Cube: Volume = $s^3$, where $s$ is the side length.
• 📦 Rectangular Prism: Volume = $l \cdot w \cdot h$, where $l$ is length, $w$ is width, and $h$ is height.
• 🔺 Pyramid: Volume = $\frac{1}{3} \cdot A \cdot h$, where $A$ is the base area, and $h$ is the height.
• 🛢️ Cylinder: Volume = $\pi \cdot r^2 \cdot h$, where $r$ is the radius and $h$ is the height.
• 🍦 Cone: Volume = $\frac{1}{3} \cdot \pi \cdot r^2 \cdot h$, where $r$ is the radius and $h$ is the height.
• ⚽ Sphere: Volume = $\frac{4}{3} \cdot \pi \cdot r^3$, where $r$ is the radius.
• 💡 General Prism: Volume = $A \cdot h$, where $A$ is the area of the base, and $h$ is the height.

🧪 Practice Quiz

1. A cube has a side length of 5 cm. What is its volume?
   1. 25 cm³
   2. 100 cm³
   3. 125 cm³
   4. 150 cm³
2. A rectangular prism has a length of 8 cm, a width of 4 cm, and a height of 3 cm. What is its volume?
   1. 32 cm³
   2. 64 cm³
   3. 96 cm³
   4. 128 cm³
3. A pyramid has a square base with sides of 6 cm and a height of 7 cm. What is its volume?
   1. 42 cm³
   2. 84 cm³
   3. 126 cm³
   4. 252 cm³
4. A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume?
   1. 30π cm³
   2. 60π cm³
   3. 90π cm³
   4. 120π cm³
5. A cone has a radius of 4 cm and a height of 6 cm. What is its volume?
   1. 16π cm³
   2. 32π cm³
   3. 48π cm³
   4. 96π cm³
6. A sphere has a radius of 3 cm. What is its volume?
   1. 12π cm³
   2. 36π cm³
   3. 72π cm³
   4. 108π cm³
7. A triangular prism has a base area of 20 cm² and a height of 5 cm. What is its volume?
   1. 50 cm³
   2. 75 cm³
   3. 100 cm³
   4. 125 cm³