Answer:
number of boxes packed = 24 boxes
Explanation:
The trucked is being packed with boxes that are 2 foot cubes . The space that the boxes are being packed is 8 ft long , 4 ft wide and 6 ft tall .
Where the boxes are packed is a cuboid base on it dimensions . Therefore,
volume of a cuboid = LHW
where
L = length = 8 ft
H = height = 6 ft
W = width = 4 ft
Volume of where the boxes are packed = Length × height × width
The volume of where the boxes are packed = 8 × 4 × 6 = 192 ft³
The boxes are cube which means they have equal length in all faces.
The volume of each box = L³
Where
L = length = 2 ft
The volume of each box = 2³
The volume of each box = 8 ft³
To get the number of box that can be packed in the space we divide the volume of the space by the volume of 1 box.
number of box that can be packed = 192/8 = 24 boxes
number of boxes packed = 24 boxes