Video: Finding the Volume of Rectangular Prisms

Complete the formula for the volume of a cuboid: _ × _ × _.

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Video Transcript

Complete the formula for the volume of a cuboid.

First, let’s remind ourselves what a cuboid is. A cuboid is a box-shaped object with six flat faces. All angles are right angles. And all faces are rectangles. It is a rectangular prism. Here’s a sketch that fits that definition. Here’s a sketch of a cuboid.

We’re looking for this cuboid’s volume. Its volume is the amount of three-dimensional space it takes up. You can imagine it by thinking how much water could be in it, its capacity. We find it by looking at the base area, the length times the width. We take that and multiply it by the height.

The total volume of this cuboid, its capacity, is its length times width times height.

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