Geometry and Measurement: The volume of a Cube

The video tutorial explains how to calculate the number of small cubes that can fit into a cuboid by comparing their volumes. It demonstrates two cases: when the dimensions of the cuboid are divisible by the cube's dimensions and when they are not. In the first case, simple division of volumes suffices. In the second case, adjustments are needed due to non-divisible dimensions, requiring a different calculation method. The tutorial emphasizes understanding these methods to accurately determine the number of cubes that can fit into a cuboid.

What is the first step in determining how many small cubes fit into a cuboid?

• Calculate the surface area of the cuboid

• Find the volume of the small cube

• Count the number of edges on the cuboid

• Measure the perimeter of the cuboid

In the first example, what is the volume of the cuboid with dimensions 8, 14, and 16 cm?

• 2560 cm³

• 2240 cm³

• 1120 cm³

• 1792 cm³

How many small cubes with a side length of 2 cm fit into the first cuboid?

• 112 cubes

• 336 cubes

• 448 cubes

• 224 cubes

Why can't 165 small cubes fit into the second cuboid?

• The cubes are too large

• The dimensions of the cuboid are not divisible by the cube's dimensions

• The cuboid is not a perfect cube

• The cuboid is too small

What is the correct number of small cubes that fit into the second cuboid?

• 140 cubes

• 160 cubes

• 130 cubes

• 150 cubes