GB-36-04-001 · Reverse volume scale factor

Two similar containers have volumes 8 cm³ and 9261 cm³. The smaller is 40 cm high. Find the height of the larger.

Similar Shapes: L.A.V Table (Reverse Volume to Length) 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-36-04-001)

Dimension	Small	Scale factor: small → large	Large
V	8	$\frac{9261}{8}$	9261
L	40	$\sqrt[3]{\frac{9261}{8}}=10.5$	$40\times10.5=420$

Ans = 420 cm