Chapter 5 Geometry Section 5.5 Simple Geometric Solids
Calculate the volume of a prism of height with a triangle as its base. Two sides of this triangle are of length , and one side is of length .
The surface area of a cylinder of height is to be covered with a coloured sheet. The surface area shall be . Calculate the diameter of the disk and the volume of the cylinder. Use the approximate value for and round off your result to the nearest millimetre.
Consider a piece of wood with the shape of a rectangular cuboid with the volume . The height of the cuboid is , and the base face is a square with sides of length . From the piece of wood, a cylindrical hole of height with a diameter is drilled "centrically" (i.e. the intersection point of the diagonals of the quadratic base face is the centre of the base disk of the cylinder). Use the approximate value for and round off your result to integers. Calculate
- the volume of the drilled hole:
- the percentage of the volume of the new piece of wood remaining after drilling of the volume :