A rectangular wooden block has dimensions and a mass of
MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
A rectangular wooden block has dimensions 20cm×15cm×10cm and a mass of 6.0kg. A carpenter wishes to create a geometrically similar block from the same type of wood that will have a mass of 25kg. The density of the wood remains constant.
(a) Calculate the density of the wood in SI units.
(b) Let k be the factor by which every linear dimension of the original block must be multiplied to achieve the desired mass. Derive an expression for k and determine its numerical value.
(c) Using the value of k, compute the new length, width, and height of the larger block. Express each dimension to an appropriate number of significant figures and include units.