A company sells cereals in boxes which measure 10 cm by 25 cm by 35 cm.
They make a special edition box which is mathematically similar to the original box.

The volume of the special edition box is 15 120cm .
Work out the dimensions of this box.

V = 12cm×30cm×42cm

Step-by-step explanation:

Given the dimension of original box to be 10 cm by 25 cm by 35 cm.

Volume of the box = length × breath ×height

V = 10×25×35

V = 8150

If they make a special edition box which is mathematically similar to the original box, then we can generalise the volume of the original box by writing it in terms of a constant k

V = 10k×25k×35k...1

V = 8750k³ cm³

Given the Volume of the special edition box to be 15,120cm³ which bus similar to the volume of the original box, then

15,120 = 8750k³

k³ = 15,120/8750

k³ = 1.728

k = 1.728^1/3

k = 1.2

The dimension of the special edition box will be gotten by substituting k = 1.2 into eqn 1

V = 10(1.2)×25(1.2)×35(1.2)

V = 12cm×30cm×42cm

x= 149. 24+7=31. 180-31=149

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