GED Mathematical Reasoning TestQuantitative Problem Solving with MeasurementEasy
A packaging company is designing a new shipping box in the shape of a rectangular prism. The box needs to be 10 inches long, 6 inches wide, and 4 inches high. What is the total volume of the box?
- A480 cubic inches
- B80 cubic inches
- C240 cubic inches
- D120 cubic inches
Show answer & explanationAnswer & explanation
Correct answer: C. 240 cubic inches
The volume of a rectangular prism is calculated by multiplying its length, width, and height. For this box, Volume = 10 inches × 6 inches × 4 inches = 240 cubic inches.
Why the other options are wrong
- A. This is incorrect; it might be 10 × 6 × 8, doubling the height.
- B. This is incorrect; it might be 10 × 4 + 6 × 4, or some other miscalculation.
- D. This is incorrect; it might be 10 × 6 × 2 or a similar error.
Volume of a Rectangular Prism
The volume of a rectangular prism (a box) is the amount of three-dimensional space it occupies. It is found by multiplying its length, width, and height.
- Formula: V = Length × Width × Height
- Units are always cubic units (e.g., in³, cm³)
- Represents the capacity of the container
Memory trick: Length, Width, Height, for Volume's full might!