Volume & Surface Area Of Regular Objects - 2 Examples

In this lesson, we will go thru 2 examples on how to apply the concept of base area to find the surface area and volume of composite objects.

Example 1

The figure shows a closed container of uniform cross-section. The cross section consists of a square ABCD and a quadrant CED of a circle, centre D. Given that AB=7cm, AD=7cm and BH=CG=EF=AI=20cm, calculate

  1. The area of the cross section ADECB
  2. The volume of the container
  3. The surface area BCEFGH

[Take \(𝜋=\frac{22}{7}\)]

Example 2

A solid cylinder is made from melted iron. The height and diameter of the cylinder measured are 16cm and 15cm respectively.
  1. Calculate the volume of iron needed to make the cylinder. (Take \(π=3.14\)).
  2. Ten such cylinders are melted to make cubes whose side is 3mm each. What is the maximum number of cubes that can be made from the cylinders?
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