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Answer:
14.58 gallons
Step-by-step explanation:
The tank volume is 3360 in^3, which is the product of the base x length x height (14)(12)(29) = 3360 in^3.
We are given a conversion factor: 1 fluid oz = 1.8 in^3
We can write this as (1 fluid oz)/( 1.8 in^3).
Use this conversion factor to confert volume to fluid oz:
(3360 in^3)*((1 fluid oz)/( 1.8 in^3)) = 1867 fluid oz
There are 128 fluid oz/gallon. Make this into a conversion factor:
(1 gallon/128 fluid oz) [The conversion factor can be written with oz or gallon on the top - it makes no difference since the two values are equal to each other]
(1867 fluid oz)*((1 gallon/128 fluid oz) = 14.58 gallons
water the tank will hold = 14.583 gallons
What is cuboid ?
- A cuboid is a three-dimensional or solid shape.
- A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges.
- Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces.
- The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Given : A fish tank has a volume = 3360 cubic Inches.
The length of the tank is =14 inches
the width is = 12 inches.
The height of the tank is = 20 inches.
If one fluid ounce is = 1.8 cubic inches
Volume of tank = 14 * 12 * 20 = 3360 cubic inches
1.8 cubic inches = one fluid ounce
3360 cubic inches = 3360/1.8 fluid ounce
= 5600/3 fluid ounce
As we know,
1 gallons = 128 fluid ounces
water the tank will hold =( 5600/3 ) / 128
= 175 / 1 = 14.583 gallons
Therefore, water the tank will hold = 14.583 gallons
Learn more about cuboid
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