Grade 5 volume quiz: Rectangular prisms (V=B x H with base area)

📚 Quick Study Guide

• 📏 Volume is the amount of space a 3D object takes up.
• 🧱 A rectangular prism is a 3D shape with six rectangular faces.
• ➗ The formula for volume is $V = B \times H$, where $V$ is volume, $B$ is the area of the base, and $H$ is the height.
• 📐 The base area ($B$) of a rectangular prism is found by multiplying the length ($l$) and width ($w$) of the base: $B = l \times w$.
• ➕ So, the volume formula can also be written as $V = l \times w \times h$, where $h$ is the height of the prism.
• 💡 Remember to use the same units for all measurements (e.g., cm, inches). The volume will be in cubic units (e.g., cm³, in³).

📝 Practice Quiz

1. What is the volume of a rectangular prism with a base area of 25 cm² and a height of 5 cm?
   1. 100 cm³
   2. 125 cm³
   3. 30 cm³
   4. 5 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. 96 cm³
   2. 24 cm³
   3. 32 cm³
   4. 15 cm³
3. The volume of a rectangular prism is 120 in³. If the base area is 24 in², what is the height?
   1. 5 in
   2. 144 in
   3. 96 in
   4. 2880 in
4. What is the base area of a rectangular prism with a volume of 72 m³ and a height of 6 m?
   1. 12 m²
   2. 432 m²
   3. 66 m²
   4. 78 m²
5. A rectangular prism has a length of 7 inches, a width of 2 inches, and a height of 4 inches. What is the volume?
   1. 56 in³
   2. 13 in³
   3. 28 in³
   4. 14 in³
6. The volume of a rectangular prism is 200 cm³. If the length is 10 cm and the width is 5 cm, what is the height?
   1. 4 cm
   2. 20 cm
   3. 185 cm
   4. 215 cm
7. A rectangular prism has a base area of 45 ft² and a height of 9 ft. What is its volume?
   1. 405 ft³
   2. 54 ft³
   3. 36 ft³
   4. 5 ft³