The following conversion equivalents are given 1m=100th 1in=2,5th 1ft=12th A bin has a volume of 1.5 to the 3rd power. The volume of the bin, in ft to the 3rd power, is closet to
To convert the volume of the bin from meters cubed (m³) to feet cubed (ft³), we need to use the conversion equivalents given.
Given:
1m = 100th
1in = 2.5th
1ft = 12th
First, let's convert the volume from meters cubed (m³) to centimeters cubed (cm³) using the conversion:
1m = 100cm
Volume of the bin in cm³ = 1.5^3 m³ = 1.5 * 1.5 * 1.5 * (100 * 100 * 100) cm³
Next, let's convert the volume from centimeters cubed (cm³) to inches cubed (in³) using the conversion:
1in = 2.5cm
Volume of the bin in in³ = (1.5 * 1.5 * 1.5 * (100 * 100 * 100)) / (2.5 * 2.5 * 2.5) in³
Finally, let's convert the volume from inches cubed (in³) to feet cubed (ft³) using the conversion:
1ft = 12in
Volume of the bin in ft³ = ((1.5 * 1.5 * 1.5 * (100 * 100 * 100)) / (2.5 * 2.5 * 2.5)) / (12 * 12 * 12) ft³
Now we can calculate the approximate value of the volume in ft³ by evaluating the expression:
Volume of the bin in ft³ ≈ ((1.5 * 1.5 * 1.5 * (100 * 100 * 100)) / (2.5 * 2.5 * 2.5)) / (12 * 12 * 12) ft³
Performing the calculation yields the approximate volume of the bin in ft³.