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 wo
rds, 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.
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.
1 answer:
The solid shapes are illustrations of volumes, and there are 1/27 cubic yards in 1 cubic foot
<h3>How to determine the number of cubic yards in one cubic foot?</h3>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
Hence, there are 1/27 cubic yards in 1 cubic foot
Read more about volumes at:
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Question is Incomplete;Complete question is given below;
Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width. If x is the length and y is the width of the plot, set the equations of the system. Solve and determine the values of x and y. If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?
Answer:
Length of the plot is 9 meter and width of the plot
is 3 meter.
Sam need to spend $225 on fencing.
Step-by-step explanation:
Given;
Perimeter of the plot =24 m
Length of the plot is denoted ''
Width of the plot is denoted by
Cost of Fencing = $25 per meter.
We need to find the the values of x and y.
Also we need to find how much does Sam need to spend on fencing.
Solution:
Now given that;
length is 3 times its width.
so we get;
Now we know that;
Perimeter of the rectangle is equal to 2 times sum of its length and width.
framing in equation form we get;
But
so we get;
Dividing both side by 8 we get;
Now width of the plot = 3 meter
Length of the plot
Hence Length of the plot is 9 meter and width of the plot
is 3 meter.
Now given that;
Sam wants to fence his rectangular garden plot along its length on the front side.
So we can say that;
Length to be fenced = 9 m
Cost of fencing = $25/meter
Cost of fencing the garden =
Hence Sam need to spend $225 on fencing.