What is the volume of a rectangular prism with length L, width W, and height H?

What is the volume of a rectangular prism with length L, width W, and height H?

• A. V = L × W × H
• B. V = L × W + H
• C. V = L × H / W
• D. V = L × W × H²

Answer: (A)

Volume is the amount of space inside a three‑dimensional shape. For a rectangular prism, this space comes from extending along three directions: length, width, and height. To fill the entire interior, you multiply all three dimensions together. So the volume is V = L × W × H. If you test with numbers, say L = 2, W = 3, H = 4, you get V = 24 cubic units, which makes sense because you’re counting all the unit boxes in every direction. The other forms—adding a dimension, dividing by width, or squaring the height—don’t count space in all three directions simultaneously, so they don’t measure the interior volume correctly.

Volume is the amount of space inside a three‑dimensional shape. For a rectangular prism, this space comes from extending along three directions: length, width, and height. To fill the entire interior, you multiply all three dimensions together. So the volume is V = L × W × H. If you test with numbers, say L = 2, W = 3, H = 4, you get V = 24 cubic units, which makes sense because you’re counting all the unit boxes in every direction. The other forms—adding a dimension, dividing by width, or squaring the height—don’t count space in all three directions simultaneously, so they don’t measure the interior volume correctly.