A CAP (Cover and Plinth) storage stack of bagged wheat has dimensions of $10.0\text{ m}$ length, $6.0\text{ m}$ width, and $4.0\text{ m}$ height. If the stack density of bagged grain is $600\text{ kg/m}^3$, the total storage capacity of the stack in tonnes is ________ (answer in integer).
Answer Key:
144
Step-by-Step Solution & Explanation
1. Volume of stack $V$:
$V = L \times W \times H = 10.0 \times 6.0 \times 4.0 = 240.0\text{ m}^3$
2. Storage capacity $M$:
$M = V \times \rho_{stack} = 240.0\text{ m}^3 \times 600\text{ kg/m}^3 = 144,000\text{ kg} = 144\text{ tonnes}$