Question

Paint the cube The Money required to paint a cube of volume V is x Rs. We have another cube with volume 343V. How much money do we need to paint this new cube?​

Answer 1

Concept:

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Given:

Paint the cube The Money required to paint a cube of volume V is x Rs. We have another cube with volume 343V.

Find:

How much money do we need to paint this new cube?

Solution:

V volume of cube cost =Rs X

343V volume of cube cost=Rs 343x

Therefore, the cost of painting of 343 V volume of box is 343x ruppees

#SPJ2

Answer 2

Answer:

The money needed to paint the new cube is 7x Rs.

Step-by-step explanation:

Given the volume of a cube is V.

Volume of the cube is given by cube of its side,

i.e., $V=s^{3}\implies s=\sqrt[3]{V}$

An object is painted on its surfaces.

So, the total surface area of a cube is

$6s^{2}=6(\sqrt[3]{V})^{2}sq.units$

To paint the above area, the money required is $x ~Rs.$

Given, the volume of another cube is 343V.

Thus, the side of this other cube is

$s=\sqrt[3]{343V}=7\sqrt[3]{V}~units$

Total surface area of a cube is

$6(7\sqrt[3]{V})^{2}=7\times 6(\sqrt[3]{V})^{2}sq. units$

Thus, the money required to paint the other cube is

$7\times 6(\sqrt[3]{V})^{2}=7x~Rs$

Therefore, the money needed to paint the new cube is 7x Rs.

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