Exam-Style Question on Mensuration
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 93. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.
Twenty four spherical shaped chocolates are arranged in a box in four rows and six columns.
Each chocolate has a radius of 1.2 cm.
(a) Find the volume of one chocolate.
(b) Write down the volume of 24 chocolates.
The 24 chocolates fit perfectly in the box with each chocolate touching the ones around it or the sides of the box.
(c) Calculate the volume of the box.
(d) Calculate the volume of empty space in the box.
(e) What percentage of the contents of the box is chocolate?
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2022 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/