Mega Moving truck is 632.102 cubic feet greater than 2-bedroom moving truck.
Solution:
Volume of the mega moving truck = length × width × height
[tex]$=22 \frac{1}{4}\times7 \frac{7}{12}\times 8 \frac{5}{12}[/tex]
Convert mixed fraction into improper fraction.
[tex]$= \frac{22\times4+1}{4}\times \frac{7\times12+7}{12}\times \frac{8\times12+5}{12}[/tex]
[tex]$= \frac{89}{4}\times \frac{91}{12}\times \frac{101}{12}[/tex]
Volume of the mega moving truck = 1420.137 cubic ft
Volume of the 2-bedroom moving truck = length × width × height
[tex]$=14 \frac{1}{2}\times7 \frac{7}{12}\times 7\frac{1}{6}[/tex]
Convert mixed fraction into improper fraction.
[tex]$= \frac{14\times2+1}{2}\times \frac{7\times12+7}{12}\times \frac{7\times6+1}{6}[/tex]
[tex]$= \frac{29}{2}\times \frac{91}{12}\times \frac{43}{6}[/tex]
Volume of the 2-bedroom moving truck = 788.035 cubic ft
Difference between them = 1420.137 – 788.035
= 632.102 cubic ft
Hence Mega Moving truck is 632.102 cubic feet greater than 2-bedroom moving truck.
