A truck is being packed with boxes that are two foot cubes. The space that's being packed is 8 feet long 4 feet wide 6 feet tall how many boxes can be packed

number of boxes packed = 24 boxes

Step-by-step 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