A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?

3.996yd³

Step-by-step explanation:

A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?

Given

Volume of a box = 108ft³

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 * x = 108 *  0.0370

x = 3.996

Hence the value in cubic yards is 3.996yd³

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step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)