Answer:
A) Maximum error = 36 cm²
B) Relative Error = 0.0267
C) percentage error = 2.67%
Step-by-step explanation:
Surface area of the cube is;
A(x) = 6x²
Where x is the length of the edge of the cube.
dA/dx = 12x
When x is small like in this case, we can write;
ΔA/Δx ≈ 12x
Thus, ΔA ≈ 12x•Δx
A) Maximum error = 12*15*0.2
Maximum error = 36 cm²
B) Relative Error = Max Error/Surface Area
Surface area = 6 x 15² = 1350
Thus,relative error = 36/1350
Relative Error = 0.0267
C) percentage error = Relative Error x 100%
percentage error = 0.0267 x 100%
percentage error = 2.67%
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