Question

Convert from Barrels to (Feet, inches andquarter inch.Tank # 01 capacity:Barrels per cubic feet: 62.52Barrels per cubic inch: 5.21Barrels per cubic quarter inch: 1.3If you deposited 170 barrels into tank # 01 What would be the total deposited into the tank in cubic feet/inch/ and quarter inch?

Answer 1

Given: A tank capacity as follows-

Barrels per cubic feet: 62.52

Barrels per cubic inch: 5.21

Barrels per cubic quarter inch: 1.3

Required: If there are 170 barrels deposited in the tank, then determine capacity in cubic feet, cubic inch and cubic quarter inch.

Explanation: Since it is given that

`1\text{ ft}^3=62.52\text{ Barrels}`

Suppose x cubic feet is the conversion for 170 barrels. Then by proportion-

`(1)/(x)=(62.52)/(170)`

Solving for x,

`x=2.72\text{ ft}^3`

Similarly, if y represents the conversion for 170 barrels in cubic inch.

Then,

`\begin{gathered} y=(170)/(5.21) \\ =32.63\text{ in}^3 \end{gathered}`

Finally, if z represents capacity in cubic quarter inch for 170 barrels then,

`\begin{gathered} z=(170)/(1.3) \\ z=130.77\text{ cubic quarter inch} \end{gathered}`

Final Answer: Capacity in cubic feet=2.72

Capacity in cubic inch=32

Capacity in cubic quarter inch=1.3