Test questions on drawing nets of 3D shapes for Grade 7 geometry

📚 Quick Study Guide

• 📐 Nets: A net is a 2D shape that can be folded to form a 3D shape.
• 🧊 Cube: A cube has 6 identical square faces. Its net consists of 6 connected squares.
• 🔺 Pyramid: A pyramid has a polygon base and triangular faces that meet at a point (apex). The net will have the base and triangles connected to its sides.
• ◼️ Prism: A prism has two identical polygon faces (bases) and rectangular faces connecting them. The net will have the two bases and rectangles connected to their sides.
• 💡 Tips for Visualizing: Imagine unfolding a box or cutting along the edges of a shape and flattening it.
• 📝 Important Note: There can be multiple possible nets for the same 3D shape!
• 📏 Surface Area: The surface area of a 3D shape can be found by calculating the area of each shape in the net and adding them together.

Practice Quiz

1. Which of the following nets can be folded to form a cube?

   1. A. A net with 6 squares in a straight line.
   2. B. A net with 4 squares in a straight line and one on each side of the second square.
   3. C. A net with 5 squares in a cross shape and one attached to one of the arms.
   4. D. Any arrangement of 6 squares.

2. Which 3D shape can be formed from a net consisting of one square and four identical triangles?

   1. A. Triangular prism
   2. B. Square pyramid
   3. C. Cube
   4. D. Tetrahedron

3. A net of a triangular prism consists of which shapes?

   1. A. Three triangles and two rectangles
   2. B. Two triangles and three rectangles
   3. C. Three squares and two triangles
   4. D. Two squares and three triangles

4. Which of the following is NOT a possible net for a cube?

   1. A. A "T" shape with 3 squares in the stem and one on each side of the middle square of the stem.
   2. B. A cross shape with a square on each arm.
   3. C. A straight line of 6 squares.
   4. D. A rectangle of 4 squares with 2 squares attached to one of the longer sides.

5. How many faces does a triangular pyramid (tetrahedron) have?

   1. A. 3
   2. B. 4
   3. C. 5
   4. D. 6

6. Which of these nets will create a cylinder?

   1. A. Two circles and a square
   2. B. Two circles and a rectangle
   3. C. Two squares and a rectangle
   4. D. One circle and one rectangle

7. If a rectangular prism has dimensions 2cm x 3cm x 4cm, what shapes would be in its net, and how many of each?

   1. A. Two rectangles of 2cm x 3cm, two rectangles of 2cm x 4cm, and two rectangles of 3cm x 4cm.
   2. B. One rectangle of 2cm x 3cm, one rectangle of 2cm x 4cm, and one rectangle of 3cm x 4cm.
   3. C. Six rectangles of 2cm x 3cm.
   4. D. Three rectangles of 2cm x 3cm.