The figure shows a solid that is the remaining part of a cuboid, where a square hole and a circular

Question

The figure shows a solid that is the remaining part of a cuboid, where a square hole and a circular hole that cut through the cuboid are at the centre of two pairs of opposite faces of the cuboid.
Find, leaving your answers in terms of $\pi $,

the total surface area of the solid, and
the volume of the solid.
Assume that the solids are carved out in the order of first a square-based prism followed by two cylinders. Find the difference between the volume of the square-based prism and the sum of the volume of the two cylinders that are carved out, leaving your answer in terms of $\pi $.

Accepted Answer

(a) $(14\,616+144\pi)\text{ cm}^2$ (b) $(90\,720-270\pi)\text{ cm}^3$ (c) $(2592-270\pi)\text{ cm}^3$

IP1U13 HOT Q7

IP1U13 HOT Q7

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