A cuboid is 25 cm long,15 cm breadth, and 8 cm height. How much of its volume will differ from that of a cube with the edge of 16 cm?
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The difference between the volume of the cube and that of the cuboid is 1096 cm³
Step-by-step explanation:
To answer this question, we need to get the volume of both the cube and the cuboid.
Volume of a cuboid = Length × Width × Height
In this case it is given by:
= 25 × 15 × 8 = 3000 cm ³
Volume of a cube is given by:
Volume = s³, where s is the length of the side of the cube.
The volume of the given cube is:
s = 16 cm
Volume = 16³ = 4096 cm³
the difference between the volume of the cube and that of the cuboid is:
= 4096 - 3000 = 1096 cm³
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