The dimension of the rectangular box is 60cm x 45cm x 32cm. The dimension of the wood used has the thickness of 2.5 cm all around the rectangular box. In order to get the volume of the wood, subtract each side of the rectangular box by 2.5.
Volume = 57.5 cm x 52.5cm x 29.5cm
Volume = 89053.1252 cm^3
yes. Machine A pops 42.5 ounces of popcorn in 10 minutes. Machine B pops 45 ounces of popcorn in 10 minutes. Add the two to get 87.5 ounces. 8 times 9 is 72 which is less than 87.5 ounces
Using shells, the volume is

where

is the distance from any point in the region along the x-axis to the axis of revolution

, which makes up the radius of each shell; and

is the height of each shell, which is determined by the line

.
So the volume is