A wooden block in the form of a cuboid measures

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A wooden block in the form of a cuboid measures 20 cm×15 cm×8 cm20\,\text{cm} \times 15\,\text{cm} \times 8\,\text{cm}. A cylindrical hole of diameter 6 cm6\,\text{cm} is drilled straight through the centre of the block perpendicular to the 20 cm×15 cm20\,\text{cm} \times 15\,\text{cm} faces. The length of the hole equals the thickness of the block. (i) Find the volume of wood removed by drilling the hole. (ii) Determine the volume of the remaining wooden block in cubic centimetres. (iii) If the remaining block is completely immersed in water, how many litres of water will it displace?

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