Trapezoidal Prism with Cylindrical Hole – Volume & Surface Area

Trapezoidal Prism with Cylindrical Hole – Volume & Surface Area

Secondary 1

The solid consists of a trapezoidal prism with a cylindrical hole of radius \(10\) cm in the centre. Given that \(AB=25\) cm, \(EF=75\) cm, \(FG=28\) cm, \(CF=DE=93.41\) cm and the height of the solid is \(90\) cm.

  1. Calculate the total volume of the solid.
  2. Calculate the total surface area of the solid.
  3. The solid is melted and recast into a cylindrical solid of height \(40\) cm, find the radius of the solid.

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Answer:(a) \(117\,000\text{ cm}^3\) (3 s.f.) (b) \(18\,200\text{ cm}^2\) (3 s.f.) (c) \(30.5\text{ cm}\) (3 s.f.)

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