📚 Topic Summary
Volume is the amount of space a three-dimensional object occupies. For rectangular prisms, like boxes, we can find the volume by multiplying the area of the base (B) by the height (H). The formula is simple: $V = B \times H$. Remember, the base area (B) is often found by multiplying length and width, if you're given those dimensions instead of the area directly. The units for volume are always cubed (e.g., cubic inches, cubic centimeters).
Let's test your knowledge with this quiz!
🧠 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Volume |
a. The distance from the base to the top |
| 2. Base Area |
b. The amount of space a 3D object occupies |
| 3. Height |
c. The number of cubic units to fill the prism |
| 4. Cubic Unit |
d. The area of the bottom face of a 3D object |
| 5. Rectangular Prism |
e. A 3D shape with six rectangular faces |
✍️ Part B: Fill in the Blanks
Use the words volume, base, height, and cubic to complete the sentences.
- The formula to find the ________ of a rectangular prism is V = B x H.
- B stands for the area of the ________.
- H stands for the ________ of the prism.
- Volume is measured in ________ units.
🤔 Part C: Critical Thinking
Imagine you have two rectangular boxes. Box A has a base area of 20 square inches and a height of 5 inches. Box B has a base area of 15 square inches and a height of 7 inches. Which box has a larger volume? Explain your answer.