menu
bartleby
search
close search
Hit Return to see all results

A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21 cm. Use differentials to find the approximate amount of paint required for the job, correct to the nearest cubic centimeter.

Question

A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21 cm. Use differentials to find the approximate amount of paint required for the job, correct to the nearest cubic centimeter.

check_circleAnswer
Step 1

We know that,

Volume of cube, V = a3 where a is the side of the cube.
help_outline

Image Transcriptionclose

Volume of cube, V = a3 where a is the side of the cube.

fullscreen
Step 2

Here, we h...

da - 0.02 ст апd a - 21 ст
d(a3)
dV
da
da
dV
За?
da
dV 3 За?da
dV 3 x (212) (0.02)
dV — 26.46 ст3
help_outline

Image Transcriptionclose

da - 0.02 ст апd a - 21 ст d(a3) dV da da dV За? da dV 3 За?da dV 3 x (212) (0.02) dV — 26.46 ст3

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Derivative

Sorry about that. What wasn’t helpful?