GB-36-03-001 · Similar volumes

Two similar solids have corresponding lengths in the ratio 9 : 24. The smaller has volume 13122 cm³. Find the volume of the larger.

Similar Shapes: L.A.V Table (Volume) Booklet p. 41

Method

1) Put corresponding measurements in an L.A.V table (or L.L for two lengths)

2) Length factor r, area factor r², volume factor r³

3) Multiply from small to large; divide in reverse

Worked Example (GB-36-03-001)

Dimension	Small	Scale factor: small → large	Large
L	9	$\frac{8}{3}$	24
V	13122	$(\frac{8}{3})^{3}$	$13122\times(\frac{8}{3})^{3}=248832$

Ans = 248832 cm³