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stellarik [79]
2 years ago
13

A fish tank with a rectangular base has a volume of 3360 cubic inches. the length of the tank is 14 inches and the width is 12 i

nches. the height of the tank is 20 inches. if one fluid ounce is 1.8 cubic inches how much water will the tank hold ? your answer should be in gallons.
Mathematics
2 answers:
Alenkasestr [34]2 years ago
4 0

water  the tank will hold = 14.583 gallons

<h3>What is cuboid ?</h3>
  • 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

brainly.com/question/19754639

#SPJ4

vodomira [7]2 years ago
4 0

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

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