Best Answer

The formula for the volume of a cube is V=s^3.

Take the first derivative----> d/dt(V)= d/dt(s^3) ---->dv/dt= 3s^2 (ds/dt)

dv/dt is the propagated error for volume, so the other variables should already be defined in the question where:

s= side length and ds/dt would equal possible error in each side.

Sometimes it's necessary to solve for these variables using other formulas the most common of which is surface area which is:

SA=6s^2 where SA`= dsa/dt= 12s (ds/dt).

Q: How do you use differentials to estimate the propagated error in computing the volume of a cube?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

The answer depends on the equipment that you have available.

The only measurements you really need for the estimate are the size of the whole toaster and the size of the internal grill holes. If you don't have those second measurements, just shrink the size of the whole toaster so the width is about four fifths of the body, the length of one should be about 1/3 of the body and the height should be about 4 fifths as well. Then just use the standard volume calculation (lwh) to find the volume of the two components, then subtract however many grill holes there are from the volume of the body. I was just doing an assignment on this, and this is where i started to get an estimate. I later went on to add the curvature of the edges and the lever + dial etc. but for an estimate, this should be fine.

Take the gpm of the recirculating pump and multiply by 10/2.4 equal system volume. This is used to estimate expansion tanks. It good plus or minus 10% depending on new additions

One advantage of the prismoidal formula is that you can use it toA. calculate both volume and surface area. B.determine volumes of figures that aren't prismoids. C.calculate precise volumes of all prismoids. D. estimate the volume of solids that are combinations of other solids.

If you're looking at a list of choices, I can't help you pick the best choice from the list because you're not sharing it. My estimate, without even seeing the small carton of milk, is 1 cup (8 fluid ounces, 1/2 pint).

Related questions

To estimate the volume of the pot.

length times width

You can estimate the volume of oxygen generated in a plastic bag by knowing the concentration of the oxygen generated and the total volume of the bag. Multiply the concentration of oxygen by the total volume of the bag to get an estimate of the volume of oxygen generated.

Centimeters is to estimate distance and Milliliters is to estimate volume

1 liter

16 liters

Edouard Goursat has written: 'A Course in Mathematical Analysis Volume 3' 'A Course In Mathematical Analysis - Volume I - Derivatives And Differentials - Definite Integrals - Expansion In Series - Applications To Geometry' 'Cours d'analyse mathe matique' -- subject(s): Calculus, Mathematical analysis

The volume of a 4.11-foot cube is: 69.43 cubic feet.

The answer depends on the equipment that you have available.

2 milliliters

Tony

If you cannot estimate the height then, unless it is a very specific shape, you cannot calculate the volume.