Question

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

Answer 1

Answer:

The dimensions of the special edition box are:

12cm by 30cm by 42cm

Step-by-step explanation:

Given dimensions of original box:

10 cm by 25 cm by 35 cm

Hence, a = 10 cm; b = 25 cm; c=35cm.

Therefore, volume of box, V= a*b*c

V = 10cm*25cm*35cm =8750cm³

Since the original box and the special edition box are similar but the volume of the special edition box is 15 120 cm, to find the dimensions of the special box we have:

Lets take the volume as:

V = Xa*Xb*Xc

15120cm = 10X*25X*35X=

15120 = 8750X³

X^3 = \frac{15120}{8750}X

3

=

8750

15120

X³ = 1.728

X = ³/1.728

X = 1.2

Let's substitute 1.2 for X, we have:

10(1.2) * 25(1.2) * 35(1.2) =

12 * 30 * 42

Therefore the dimensions of the special edition box =

12cm by 30cm by 42c

Step-by-step explanation:

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