A cuboid 8s 25cm long,15cmbroad and 8cm high. How much of its volume will differ from that of a cube with the edge of 16cm?
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gnaneshwar2:
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Given:
Length of the cuboid(l) = 25 cm
Breadth of the cuboid(b)= 15 cm
Height of the cuboid(h)= 8 cm
Side of the cube(a)= 16 cm
To find:
Difference between the volumes of the cuboid and the cube.
Solution:
Volume of the cuboid=l*b*h
⇒Volume of the cuboid=25*15*8= 3000 cm³
Volume of the cube= a³
⇒Volume of the cube=16*16*16= 4096 cm³
Now,
Difference between the volumes of the cuboid and the cube = a³- l*b*h
= 4096 - 3000
=1096 cm³
⭐Thus, the volume of the cube differs by 1096 cm³ from the cuboid.
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