Solved Examples: Finding Missing Dimensions of Rectangular Prisms Grade 5

📚 Quick Study Guide

• 📏 Volume of a Rectangular Prism: The volume ($V$) of a rectangular prism is found by multiplying its length ($l$), width ($w$), and height ($h$). The formula is: $V = l \times w \times h$.
• 🔍 Finding a Missing Dimension: If you know the volume and two dimensions, you can find the missing dimension by dividing the volume by the product of the known dimensions. For example, if you need to find the height ($h$), and you know $V$, $l$, and $w$, then $h = \frac{V}{(l \times w)}$.
• 💡 Units: Remember to keep track of your units! If the dimensions are in centimeters (cm), the volume will be in cubic centimeters (cm³). If the dimensions are in inches (in), the volume will be in cubic inches (in³).
• 📝 Example: If a rectangular prism has a volume of 60 cm³, a length of 5 cm, and a width of 3 cm, then the height is $h = \frac{60}{(5 \times 3)} = \frac{60}{15} = 4$ cm.

Practice Quiz

1. What is the height of a rectangular prism with a volume of 80 cubic inches, a length of 5 inches, and a width of 4 inches?
   1. 2 inches
   2. 3 inches
   3. 4 inches
   4. 5 inches
2. A rectangular prism has a volume of 120 cubic cm, a length of 6 cm, and a height of 5 cm. What is its width?
   1. 3 cm
   2. 4 cm
   3. 5 cm
   4. 6 cm
3. What is the length of a rectangular prism with a volume of 96 cubic feet, a width of 4 feet, and a height of 3 feet?
   1. 6 feet
   2. 7 feet
   3. 8 feet
   4. 9 feet
4. A rectangular prism has a volume of 150 cubic meters, a width of 5 meters, and a length of 10 meters. What is its height?
   1. 1 meter
   2. 2 meters
   3. 3 meters
   4. 4 meters
5. What is the width of a rectangular prism with a volume of 200 cubic inches, a length of 8 inches, and a height of 5 inches?
   1. 3 inches
   2. 2 inches
   3. 4 inches
   4. 2.5 inches
6. A rectangular prism has a volume of 72 cubic cm, a length of 4 cm, and a width of 3 cm. What is its height?
   1. 5 cm
   2. 6 cm
   3. 7 cm
   4. 8 cm
7. What is the length of a rectangular prism with a volume of 100 cubic meters, a width of 2 meters, and a height of 5 meters?
   1. 15 meters
   2. 10 meters
   3. 8 meters
   4. 12 meters