Page:The Rhind Mathematical Papyrus, Volume I.pdf/106

90 Problem 45

A rectangular granary into which there have gone 7500 quadruple hekat'' of grain. What are its dimensions?''

Multiply 75 times 20; it makes 1500. Take $1/undefined$ of 1500, namely, 150, $1/undefined$ of its $1/undefined$, 15,$2/3$ of $1/undefined$of its $1/undefined$, 10. Therefore the dimensions are 10 by 10 by 10.

The working out: its contents in khar.

Problem 46

A rectangular granary into which there have gone 2500 ''quadruple hekat of grain. What are its dimensions?''

Multiply 25 times 20; it makes 500, its contents in khar. Take $1/undefined$ of 500, namely, 50, its $1/undefined$, 25, $1/undefined$ of $2/3$, 5, $1/undefined$ of $1/undefined$ of its }, 3$2/3$. Therefore the dimensions are 10 by 10 by 3$2/3$.

Its working out:

its contents in khar.

The dimensions of the granary are therefore in cubits 10 by 10 by 3$1/undefined$.