Volume of a rectangular solid is found by multiplying width, length, and height. Which equation expresses this?

Volume of a rectangular solid is found by multiplying width, length, and height. Which equation expresses this?

• A. Volume = w × l × h
• B. Volume = 2(lw + wh + hl)
• C. Volume = lw + wh + hl
• D. Volume = w + l + h

Answer: (A)

Volume measures how much space a solid occupies. For a rectangular solid, this space increases with each dimension, so you multiply length, width, and height. The product w × l × h (order doesn’t matter because multiplication is commutative) gives the volume in cubic units. This is the correct expression. The other forms describe different properties: 2(lw + wh + hl) is the surface area of the rectangular solid, not its volume; lw + wh + hl is a sum of face areas but not the overall space; w + l + h is just a sum of edge lengths, not a measure of volume.

Volume measures how much space a solid occupies. For a rectangular solid, this space increases with each dimension, so you multiply length, width, and height. The product w × l × h (order doesn’t matter because multiplication is commutative) gives the volume in cubic units. This is the correct expression.

The other forms describe different properties: 2(lw + wh + hl) is the surface area of the rectangular solid, not its volume; lw + wh + hl is a sum of face areas but not the overall space; w + l + h is just a sum of edge lengths, not a measure of volume.