Questions
Find the approximate change in the volume V of a cube of side meters caused by increasing side by 1%.
a
0.03x3m3
b
0.05x3m3
c
0.08x3m3
d
0.04x3m3
detailed solution
Correct option is A
The volume of a cube (V) of side x is given by V=x3. therefore,dV=dVdxΔx =3x2Δx =3x2(0.01x) [ as 1% of x is 0.01x] =0.03x3 Hence, the approximate change in the volume of the cube is 0.03x3m3Talk to our academic expert!
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