Similar Solids (VCE SSCE General Mathematics): Flashcards

Same shape and equal ratios of corresponding linear dimensions

Number by which all linear dimensions are multiplied

$k^3$

$2^3 = 8$ times

$\left(\frac{1}{3}\right)^3 = \frac{1}{27}$

$\left(\frac{1}{2}\right)^3 = \frac{1}{8}$

$4^3 = 64$

$3^3 = 27$ times larger

$7^3 = 343$ times larger

Yes, applies to all 3D shapes (cuboids, cylinders, cones, etc.)