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ineedhelp2285
20.12.2019 •
Mathematics
Acoat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 28 cm. use differentials to find the approximate amount of paint (in cm3) required for the job, correct to the nearest cubic centimeter. hint: the volume of a cube of edge s is v = s3.
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Ответ:
The approximate amount of paint required for the job is
.
Step-by-step explanation:
Given a function y = f(x) we call dy and dx differentials and the relationship between them is given by,
dy = f′(x)dx
Let s be the edge of the cube.
The volume of a cube is given by
The amount of paint needed is
Differentiating, we get:
When
and the thickness is
, this becomes
The approximate amount of paint required for the job is
.
Ответ: