The base of the Pyramid of Khufu is a square with sides measuring each

MATHEMATICS · Subjective · GCSE · Mathematics · Ratio and Proportion · Ratio and Proportion

Problem

The base of the Pyramid of Khufu is a square with sides measuring

230.4\,\text{m}

each. Its height is approximately

147\,\text{m}

. A scaled model is created with scale factor

\frac{1}{3}

. Show that the volume of the scaled model is

\frac{1}{27}

times the volume of the original pyramid.