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Which formula is l × b × h

GeneralClass 12AllAnswered 27 Mar 2026
Answer

The formula length × breadth × height (l × b × h) calculates the volume of a rectangular prism, also known as a cuboid or rectangular box. This straightforward multiplication determines how many cubic units of space the three-dimensional rectangle contains, where length represents one horizontal dimension, breadth (or width) represents the perpendicular horizontal dimension, and height represents the vertical dimension. The resulting value is expressed in cubic units matching whatever units you used for the measurements—cubic inches, cubic centimeters, cubic feet, and so forth.

This formula is among the most frequently used volume calculations in everyday life and professional contexts. You apply it when determining how much soil fits in a rectangular planter, calculating storage capacity of shipping containers, figuring out the volume of a room for HVAC sizing, or estimating concrete needed for a rectangular foundation. The beauty of l × b × h lies in its simplicity: if you have a box measuring 5 feet long, 3 feet wide, and 2 feet tall, you simply multiply 5 × 3 × 2 = 30 cubic feet. This formula works because rectangular prisms have consistent cross-sections along their height, making the calculation straightforward unlike curved shapes that require more complex formulas. It's the foundational volume formula that students learn first before progressing to more complex shapes like spheres, cones, and cylinders.

General · Class 12