Volume and Surface Area of Composite Solids

Volume and Surface Area of Composite Solids

TGM Original Questions

The figure below shows a solid of a uniform cross section, where the circular portion is a quadrant, and an isosceles right-angled triangular prism is removed from the solid. Find, correcting your answers to the nearest integer,

  1. the area of the cross section in cm\(^2\),
  2. the total surface area of the solid in cm\(^2\), and
  3. the volume of the solid in cm\(^3\).

The source labels the sloping cut as 240 mm. This is rounded: its two perpendicular sides are 170 mm, so the exact sloping length is \(170\sqrt2\text{ mm}\). Use the exact sloping length before rounding the requested answers.

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs a course plan.

Solution:

Solution locked

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

Answer:(a) \(1324\text{ cm}^2\). (b) \(15290\text{ cm}^2\). (c) \(119181\text{ cm}^3\) (nearest integers).

Need help? Join our E-Maths tuition for O-Level success.

Learn more