Question

what will be the volume of a rectangular box whose length,breadth and height are m²n,n²p²,5nmp respectively
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Answer 1

Answer:

5m³n⁴p³

Step-by-step explanation:

Formula for volume of rectangular box = length x breadth x height

= l x b x h

Here,

l=m²n

b=n²p²

h=5nmp

by applying formula

volume = m²n x n²p² x 5nmp

=m² x n x n² x p² x 5 x n x m x p

[now there is a rule in power and indices that if bases are same power gets added] (to get this I have attached a pic at bottom)

note

if the Power is not given , always assume it as 1 for any variable. It is a rule.

as we were doing

m has powers as 2,1

n has powers as 1,2,1

p has the powers as 2,1

Now by the rule add the powers for different variables.

like m^(2+1)

n^(1+2+1)

p^(2+1)

so = m³n⁴p³

Now we got m³n⁴p³

therefore

ans-- The volume of the rectangular box whose length , breadth,height are m²n,n²p,5nmp resp. is m³n⁴p³

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