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The diagram shows a cuboid. 4 cm 12 cm x cm the volume of the cube is 120cm² calculate the value of x​

The diagram shows a cuboid 4 cm 12 cm x cm the volume of the cube is 120cm calculate the value of x class=

Respuesta :

abbycryan404
The answer is 2.5 cm

First, you multiply 4 and 12, and you get 48
Then you take 120 and you divide it by 48.
This leaves you with 2.5
To check you multiply 2.5, 4, and 12
cygnusabc00

Answer:

The value of x will be 2.5cm.

Step-by-step explanation:

Greetings !

Volume = Length*Width*Height

where,

  • Volume=120cm³
  • Length=12cm
  • Width=x
  • Height=4cm

[tex]v = l \times w \times h \: ...substitute \: values \\ 120cm {}^{3} = 12cm \times w \times 4cm \\ 120cm {}^{3} = 48cm {}^{2} \times w \: ...divide \: both \: \\ sides \:by \: 48cm {}^{2} \\ \frac{120cm {}^{3} }{48cm {}^{2} } = w \\ w = 2.5cm[/tex]

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