Introduction to 3D Shapes: Test Questions for Grade 7

📚 Quick Study Guide

📐 Cube: A 3D shape with 6 equal square faces. All edges are the same length. Volume = $s^3$ (where s is the side length).
• 🧱 Cuboid: Similar to a cube, but faces are rectangles. Volume = $lwh$ (length × width × height).
• 🔮 Sphere: A perfectly round 3D shape. All points on the surface are equidistant from the center. Surface Area = $4\pi r^2$, Volume = $\frac{4}{3}\pi r^3$ (where r is the radius).
• 🍦 Cone: Has a circular base and a single vertex. Volume = $\frac{1}{3}\pi r^2 h$ (where r is the radius and h is the height).
• 🏛️ Cylinder: Has two circular bases and a curved surface. Volume = $\pi r^2 h$ (where r is the radius and h is the height).
• ⛰️ Pyramid: Has a polygonal base and triangular faces that meet at a common vertex. Volume = $\frac{1}{3}Bh$ (where B is the base area and h is the height).
• 💎 Prism: Has two identical bases and rectangular faces. Volume = $Bh$ (where B is the base area and h is the height).

✍️ Practice Quiz

1. What is the volume of a cube with side length 4 cm?
   1. 8 cm³
   2. 12 cm³
   3. 16 cm³
   4. 64 cm³
2. What is the surface area of a sphere with a radius of 3 cm? (Use $\pi = 3.14$)
   1. 28.26 cm²
   2. 37.68 cm²
   3. 113.04 cm²
   4. 452.16 cm²
3. A cylinder has a radius of 2 cm and a height of 5 cm. What is its volume? (Use $\pi = 3.14$)
   1. 31.4 cm³
   2. 62.8 cm³
   3. 125.6 cm³
   4. 157 cm³
4. What is the volume of a cone with a radius of 3 cm and a height of 4 cm? (Use $\pi = 3.14$)
   1. 12.56 cm³
   2. 25.12 cm³
   3. 37.68 cm³
   4. 113.04 cm³
5. A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
   1. 11 cm³
   2. 18 cm³
   3. 36 cm³
   4. 72 cm³
6. A square pyramid has a base side of 5cm and a height of 6cm. What is its volume?
   1. 30 cm³
   2. 50 cm³
   3. 60 cm³
   4. 150 cm³
7. Which of the following 3D shapes has no vertex?
   1. Cone
   2. Cube
   3. Cylinder
   4. Pyramid