What is the volume expression for a rectangular solid in terms of length, width, and height?

What is the volume expression for a rectangular solid in terms of length, width, and height?

• A. Volume = Length x Width
• B. Volume = Length x Width x Height
• C. Volume = Height x Width
• D. Volume = Length + Width + Height

Answer: (B)

Volume measures how much space is inside a rectangular solid, and for a box with length, width, and height that space is found by multiplying the three dimensions. Think of filling the box with layers of thickness equal to the height. Each layer has an area of length times width, so its volume is L×W. With height layers, the total volume becomes L×W×H. That’s why the correct expression uses all three dimensions multiplied together. Options that omit a dimension or add the dimensions don’t capture the three-dimensional space inside the solid.

Volume measures how much space is inside a rectangular solid, and for a box with length, width, and height that space is found by multiplying the three dimensions. Think of filling the box with layers of thickness equal to the height. Each layer has an area of length times width, so its volume is L×W. With height layers, the total volume becomes L×W×H. That’s why the correct expression uses all three dimensions multiplied together. Options that omit a dimension or add the dimensions don’t capture the three-dimensional space inside the solid.