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The volume of an aquarium at a zoo is 2160 cubic feet. The tank is 10 feet wide and the length is 6 feet less than twice its height. Find the dimensions?
Let the height be 2x and the length be 2x-6:
10*2x*(2x-6) = 2160 cubic feet
Divide both sides by 10:
2x*(2x-6) = 216
Multiply out the bracket:
4x2-12 = 216
4x2-12-216 = 0
Solving the above equation by using the quadratic equation formula will result as:
x = -6 or x = 9 so it must be the latter because dimensions can't be negative.
Therefore: height = 18 feet, length = 12 feet and width = 10 feet
Check: 18*12*10 = 2160 cubic feet
What else can I help you with?
What is the volume of a tank 23x45?
To calculate the volume of a tank, we need its dimensions in three dimensions (length, width, and height). The provided dimensions, 23 and 45, appear to be length and width, but the height is missing. If you provide the height, I can help calculate the volume using the formula: Volume = Length × Width × Height.
What are all the known dimensions?
there are 5. 1-length/height 2-Width and length/height 3-length and height and volume 4-Space and length and height and volume 5-Time and Space and Length and width and volume
Dimensions of a kleenex box?
The dimensions of a Kleenex box are length, width and height. The volume of the box is equivalent to length times width times height.
What 3 dimensions are used to find volume a solid?
width, length, and height
How do you find the dimensions of a cube given the volume?
Volume = length X width X height. Therefore, take the cube root of the volume to find all the dimensions
What are all the known dimensions?
there are 5. 1-length/height 2-Width and length/height 3-length and height and volume 4-Space and length and height and volume 5-Time and Space and Length and width and volume
What are three dimensions are needed to find the volume of a rectangular solid?
length, width, height
Dimensions of a kleenex box?
The dimensions of a Kleenex box are length, width and height. The volume of the box is equivalent to length times width times height.
What is the volume of the I beam?
Depends on the dimensions of the beam. length * width * height
6 cubic foot aquarium dimension?
To calculate the dimensions of a 6 cubic foot aquarium, you first need to determine the dimensions in terms of length, width, and height. If the aquarium is rectangular, you can use the formula: length x width x height = volume. For a 6 cubic foot aquarium, the dimensions could be 2 feet (length) x 1.5 feet (width) x 2 feet (height).
What do you use to find volume?
multiply all the dimensions.... height, length and breadth.
What 3 dimensions are used to find volume a solid?
width, length, and height
What determines something volume?
The volume of an object is determined by its dimensions, specifically its length, width, and height. Mathematically, volume is calculated by multiplying these three dimensions together.
How do you find the dimensions of a cube given the volume?
Volume = length X width X height. Therefore, take the cube root of the volume to find all the dimensions
How do you find the volume of an ingot?
To find the volume of an ingot, you can measure its length, width, and height and then multiply these dimensions together. The formula for calculating volume is Volume = length x width x height. This will give you the total space that the ingot occupies.
What are the three principal dimensions?
length breadth and height - defining a three dimensional volume.
What three dimensions are needed to find the volume of a rectangualar solid?
length, width, and height
