Math, asked by ambitiousgirl028, 5 months ago

Difference of the volume of a cube with an edge of 7 cm and a cuboid measuring 7 cm × 4 cm × 8 cm is_____. ​

Answers

Answered by mdyousuf123friend
0

Answer:

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Answered by Anonymous
47

Question:-

Difference of the volume of a cube with an edge of 7 cm and a cuboid measuring 7 cm × 4 cm × 8 cm is_____. 

Answer:-

  • The difference between the volume of cube and cuboid is 119 cm³

To find:-

  • Difference between volume of cube and cuboid.

Solution :-

 \boxed{ \large{volume \: of \: cube \:  =  {side}^{3}  }}

 \implies \: volume =  {7}^{3}  \\  \\  \implies \: volume = 343  \: {cm}^{3}

The volume of cube is 343 cm³

 \boxed{ \large{volume \: of \: cuboid = l \times b \times h}}

  • Length = 7 cm
  • Breadth = 4 cm
  • Height = 8 cm

 \implies \: volume = 7 \times 4 \times 8 \\  \\  \implies \: volume =224 \:  {cm}^{3}

The volume of cuboid is 224 cm³

  • Volume of cube= volume1
  • Volume of cuboid = Volume 2

 \implies \: difference \:  = volume1 - volume2 \\  \\ \implies \: difference \:  =343 - 224 \\  \\ \implies \: difference \:  =119

Hence,

The difference between the volume of cube and cuboid is 119 cm³

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