Tim Gan Math
Sign up free

Binomial Theorem

Binomial Theorem

IP 4

A cube has side length \(s\). Each side length increases by \(2\%\).

  1. Express the new volume as a multiple of the original volume.

  2. Use a binomial expansion to find the exact percentage increase in volume.

  3. A student says, “There are three dimensions, so the increase is exactly \(6\%\).” Explain the error.

  4. Estimate the percentage increase by retaining terms only up to the square of the fractional increase.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free accountSign inIP Math tuition

Create a free account to practise similar questions.

Create free accountSign inIP Math tuition
Answer:(a) \(1.02^3\); (b) \(6.1208\%\); (c) Higher-order contributions omitted; (d) \(6.12\%\).

Need help? Join our IP Math tuition programme.

Learn more