Volume with Fractional Edge Lengths

The video tutorial explains how to measure the volume of three-dimensional figures using unit cubes. It introduces the concept of using unit cubes with fractional edge lengths to find the volume of a rectangular prism. The tutorial demonstrates how to calculate the volume of smaller cubes with fractional dimensions and then applies this to determine the volume of larger figures by summing the volumes of multiple layers. The lesson concludes by summarizing the process of calculating volume with fractional edge lengths.

What is the volume of a figure formed by 8 unit cubes, each with a side length of 1 inch?

• 12 cubic inches

• 16 cubic inches

• 8 cubic inches

• 4 cubic inches

If a cube has a height of 4/5 inch, what is the height of each smaller cube that makes up this height?

• 1/2 inch

• 1/3 inch

• 1/5 inch

• 1/4 inch

How do you calculate the volume of a smaller cube with dimensions 1/5 inch each?

• 1/150 cubic inches

• 1/125 cubic inches

• 1/50 cubic inches

• 1/25 cubic inches

What is the volume of one layer of the larger figure composed of 16 smaller cubes?

• 32/125 cubic inches

• 16/125 cubic inches

• 64/125 cubic inches

• 8/125 cubic inches

What is the total volume of the larger figure with four layers, each having a volume of 16/125 cubic inches?

• 32/125 cubic inches

• 48/125 cubic inches

• 64/125 cubic inches

• 80/125 cubic inches