What are Rectangular Prisms? Definition and Examples

📚 Quick Study Guide

• 📏 Definition: A rectangular prism is a 3D solid shape with six faces that are all rectangles.
• 📐 Faces, Edges, Vertices: It has 6 faces, 12 edges, and 8 vertices.
• 🧮 Volume Formula: The volume ($V$) of a rectangular prism is calculated by multiplying its length ($l$), width ($w$), and height ($h$): $V = lwh$.
• 📦 Surface Area Formula: The surface area ($SA$) is calculated by adding the areas of all six faces: $SA = 2(lw + lh + wh)$.
• 🧊 Special Case: A cube is a special type of rectangular prism where all sides are equal in length.

Practice Quiz

1. What is the minimum number of rectangular faces a rectangular prism can have?
   1. 2
   2. 4
   3. 6
   4. 8
2. Which of the following formulas calculates the volume of a rectangular prism?
   1. $V = l + w + h$
   2. $V = lw + lh + wh$
   3. $V = lwh$
   4. $V = 2(lw + lh + wh)$
3. A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
   1. 10 $cm^3$
   2. 15 $cm^3$
   3. 30 $cm^3$
   4. 60 $cm^3$
4. How many edges does a rectangular prism have?
   1. 6
   2. 8
   3. 10
   4. 12
5. What is a rectangular prism with all sides of equal length called?
   1. Rectangle
   2. Square
   3. Cube
   4. Rhombus
6. What is the surface area of a rectangular prism with length 4 cm, width 2 cm, and height 3 cm?
   1. 24 $cm^2$
   2. 26 $cm^2$
   3. 52 $cm^2$
   4. 104 $cm^2$
7. Which of the following is NOT a property of a rectangular prism?
   1. All faces are rectangles
   2. It has 8 vertices
   3. It has 10 edges
   4. Opposite faces are parallel