A cubiod is 25cm long 15cm breadth n 8cm high. How much of its volume will differ from that of acube with the edge of 16
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Answer:
Volume of cuboid=lbh
- l=25cm b=15cm h=8cm
- 25×15×8
- 3000cm^3
Volume of cube=a^3
- a=16
- 16×16×16
- 4096cm^3
Difference = volume of cube - volume of cuboid
- 4096 - 3000
- 1096cm^3
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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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