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Sagot :
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
[tex]x = \frac{1}{27}[/tex]
Hence, there are 1/27 cubic yards in 1 cubic foot
Read more about volumes at:
https://brainly.com/question/1972490
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