A ceramic figurine in the shape of a solid miniature horse is produced by a sculptor
MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
A ceramic figurine in the shape of a solid miniature horse is produced by a sculptor. The figurine’s length, width, and height are to be increased by the same factor to create a second, larger figurine that is geometrically similar to the first. The scale factor for every linear dimension is 1.5.
(a) Determine the factor by which the volume of the larger figurine exceeds the volume of the original figurine. Show your reasoning symbolically before substituting numerical values.
(b) Assuming both figurines are made of the same uniform ceramic material, explain how the mass of the larger figurine compares with the mass of the original figurine. Provide a clear justification that references the relationship between mass and volume for a substance of constant density.