Which expression represents the volume of a prism with base area B and height h?

Which expression represents the volume of a prism with base area B and height h?

• A. V = (Base-Area)h
• B. V = Base-Area + h
• C. V = Base-Area × h²
• D. V = (Base-Perimeter)h

Answer: (A)

Volume of a prism comes from multiplying the size of the base by how tall the prism is. Imagine stacking copies of the base shape along the height; each slice has the same base area, so the total volume is base area times height. If the base area is B and the height is h, the volume is Bh. The expression (Base-Area)h is just Bh, so it matches exactly. The other forms don’t fit because they don’t multiply the base area by height. Adding lengths gives a linear measure, not volume; using h² introduces an extra length factor, changing the units; and using the base perimeter uses a boundary length rather than the base area, yielding the wrong dimension.

Volume of a prism comes from multiplying the size of the base by how tall the prism is. Imagine stacking copies of the base shape along the height; each slice has the same base area, so the total volume is base area times height. If the base area is B and the height is h, the volume is Bh. The expression (Base-Area)h is just Bh, so it matches exactly.

The other forms don’t fit because they don’t multiply the base area by height. Adding lengths gives a linear measure, not volume; using h² introduces an extra length factor, changing the units; and using the base perimeter uses a boundary length rather than the base area, yielding the wrong dimension.