Question

Using similar logic and based on what you have learned, what is the volume in cubic yards of one of the small cubes? In other words, how many cubic yards are in one cubic foot?
Practice
Two solid shapes. The first is a cube with a side length of 1 yard. The second is a cube made of unit cubes with a side length of 3 feet. One of the unit cubes is shaded and has a question mark on it.

Answer 1

The solid shapes are illustrations of volumes, and there are 1/27 cubic yards in 1 cubic foot

How to determine the number of cubic yards in one cubic foot?

The given shapes are cubes.

So, the volume of each cube is:

V = l³

Where l represents the length of each cube

For the first cube with side length of 1 yard, the volume is:

V = (1 yd)³

Evaluate

V = 1 yd³

For the second cube with side length of 3 feet, the volume is:

V = (3 ft)³

Evaluate

V = 27 ft³

This means that:

1 yd³ = 27 ft³

Let the number of cubic yard in 1 cubic foot be x.

So, we have:

1 yd³ = 27 ft³

x yd³ = 1 ft³

Cross multiply

27 ft³ * x yd³ = 1 yd³ * 1 ft³

Cancel the units

27x = 1

Divide both sides by 27

$x = \frac{1}{27}$

Hence, there are 1/27 cubic yards in 1 cubic foot

Read more about volumes at:

brainly.com/question/1972490

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