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arlik [135]
3 years ago
15

What is the volume of a cuboid when it is 4m by 4cm by 7cm

Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:  The volume of the cuboid  is:  " 11 ,200 cm³ " .

_________________________________________________

Step-by-step explanation:

____________________________________________________

The formula for the volume of a "cuboid" ;

      which is given in:  "cubic units" ;  or,  "units³ " ;  is:

____________________________________________________

        →    Volume, "V" = length (L)  * width (w) * (height)  ;

____________________________________________________

 →  The 3 (three given values are "4m" , "4 cm" and "7cm" .

We need the units of measurement to be equal;  so we need to convert the " 4m " to "cm" :

 Note that:  " 1 m = 100 cm " ; {exact conversion} ;

 So:   4m ( 100 cm / 1 m) = (4 * 100) cm = 400 cm.

_____________________________________________________

Now, we can plug these values and solve for the volume; in units of "cm³ " ;

_____________________________________________________

 V = 400 cm * 4 cm * 7 cm ;

    =  400 * 4 * 7 * cm * cm * cm ;

    =  400 * 4 * 7 cm³ ;

    =  1600 * 7 cm³ ;

     =  11, 200 cm³

_____________________________________________________

The answer is:  " 11 ,200 cm³ " .

_____________________________________________________

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