Find the volume. 74yd 54yd 84yd 103yd
1 answer:
The volume of the figure in the attachment is 84 cubic yards
<h3>What is the volume of a figure?</h3>The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape
<h3>How to determine the total volume?</h3>The complete question is added as an attachment.
From the attached figure, we can see that the three-dimensional shape is a frustum
The volume is then calculated using the following formula
V = 1/2 * (Sum of the parallel bases) * height * side length
From the figure, we have:
Parallel bases = 2 yards and 6 yards
Height = 3.5 yards
Side length = 6 yards
Substitute the known values in the above equation
V = 1/2 * (2 + 6) * 3.5 * 6
Evaluate the product in the above equation
V = 1/2 * (2 + 6) * 21
Evaluate the sum in the above equation
V = 1/2 * 8 * 21
Evaluate the product in the above equation
V = 1/2 * 168
Evaluate the product in the above equation
V = 84
Hence, the volume of the figure in the attachment is 84 cubic yards
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Answer:
The age of brothers are 4 years and 2 years respectively.
Step-by-step explanation:
We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.
Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.
So, according to the question;
- The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;
-------------- [equation 1]
- The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;
= 2 years
Putting the value of y in equation 1 we get;
x = 2y
x = = 4 years
Hence, the age of brothers are 4 years and 2 years respectively.