Question

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

Answer 1

The value of x will be 2.5cm.

Explanation:

Greetings !

Volume = Length*Width*Height

where,

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

`v = l * w * h \: ...substitute \: values \\ 120cm {}^(3) = 12cm * w * 4cm \\ 120cm {}^(3) = 48cm {}^(2) * w \: ...divide \: both \: \\ sides \:by \: 48cm {}^(2) \\ \frac{120cm {}^(3) }{48cm {}^(2) } = w \\ w = 2.5cm`

Answer 2

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