Answer: 284 boxes in the shape of the cubes can be fitted in the truck.
Step-by-step explanation:
If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.
Dimensions of the truck given in the question,
Length = 10 feet, width = 12 feet and height = 8 feet
Since, volume of a cuboid (shape of a truck) is given by the expression,
Volume = Length × Width × Height
Therefore, volume of the truck = 10 × 12 × 8
= 960 feet³
Volume of a cube is given by the expression,
Volume = (side)³
Therefore, volume of the cube with side length 1.5 feet will be,
Volume of a cube = (1.5)³
= 3.375 cubic feet
Let the number of cubes fitted in the truck = x
Therefore, volume of 'x' cubes = (3.375x) feet³
Since, volume of the truck = Volume of the cubes fitted
3.375x = 960
x = 960/3.375
x = 284.44
x ≈ 284
Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.
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