Question

The edge of a cube has length 10 inches with a possible error of 1%. The possible error, in cubic inches, in the volume of the cube is: a) 3 b) 1 c) 10 d) 30 e) all of these

Answer 1

d) 30

Explanation:

1% of 10 inch is 0.1 inch

10 inch + 0.1 inch = 10.1 inch

10 inch - 0.1 inch = 9.9 inch

V = s³

For s = 9.9 in., V = (9.9 in.)³ = 970.299 in.³

For s = 10.1 in., V = (10.1 in.)³ = 1030.301 in.³

For 10 in., V = (10 in.)³ = 1000 in.³

|1000 in.³ - 970.299 in.³| = 29.701 in.³

|1000 in.³ - 1030.301 in.³| = 30.301 in.³

The error is 30 in.³.