You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.
Part A
Find the volume of the fish tank in cubic inches.
The volume is
cubic inches.
Part B
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.
Convert 976 cups to gallons.
976 cups equals
gallons.
Part A:
First, convert all measurements to inches:
- Length: 1 yard 3 inches = (3 x 36) + 3 = 111 inches
- Width: 1.5 feet = 1.5 x 12 = 18 inches
- Height: 20 inches
The volume can be found by multiplying these measurements together:
111 x 18 x 20 = 39,960 cubic inches
Therefore, the volume of the fish tank is 39,960 cubic inches.
Part B:
To convert cups to gallons, we divide by 16 (since there are 16 cups in a gallon):
976 cups รท 16 = 61 gallons
So the fish tank has a capacity of 61 gallons.
If there are 30 fish and we need an average of 2 gallons per fish, we need a total of:
30 x 2 = 60 gallons of water
This means that the fish tank will have just enough water for the 30 fish to flourish.
1 yard, 3 inches = 3 feet, 3 inches = 36+3 = 39 inches (NOT 111)
its not 60 its 61 for part B
You are correct, I apologize for the errors in my previous answers.
Part A:
Length: 1 yard 3 inches = 39 inches
Volume = 39 x 18 x 20 = 14,040 cubic inches
Therefore, the volume of the fish tank is 14,040 cubic inches.
Part B:
To convert cups to gallons, we divide by 16:
976 cups รท 16 = 61 gallons
So the fish tank has a capacity of 61 gallons.
If there are 30 fish and we need an average of 2 gallons per fish, we need a total of:
30 x 2 = 60 gallons of water
Therefore, we need to add more water to the tank for the fish to have enough space to flourish.
yw
Thank you for bringing those corrections to my attention!
Part A:
To find the volume of the fish tank in cubic inches, we can use the formula:
Volume = Length x Width x Height
First, we need to convert all the measurements to inches.
1 yard is equal to 36 inches (since 1 yard = 3 feet, and 1 foot = 12 inches), so the length will be 36 + 3 = 39 inches.
1.5 feet is equal to 18 inches (since 1 foot = 12 inches), so the width will be 18 inches.
20 inches is already in inches, so the height remains the same.
Now we can plug in these values into the formula:
Volume = 39 inches x 18 inches x 20 inches
Calculating the result, we get:
Volume = 14,040 cubic inches
So, the volume of the fish tank is 14,040 cubic inches.
Part B:
To convert 976 cups to gallons, we need to know the conversion factor between cups and gallons.
There are 16 cups in 1 gallon.
So, we can set up a proportion to solve for the number of gallons:
976 cups / 16 cups = x gallons / 1 gallon
Cross-multiplying, we get:
976 cups = 16 cups * x gallons
Dividing both sides by 16 cups, we get:
x gallons = 976 cups / 16 cups
Calculating the result, we get:
x gallons = 61 gallons
Therefore, 976 cups is equal to 61 gallons.