Question

Ratio of the surface areas of two cubes is 36:49.find the raton of their edges

Answer 1

The ratio of edges of two cubes is 6:7

Step-by-step explanation:

Given: The ratio of surface area of two cubes is 36:49

To find: The ratio of their edges

As we know the surface area of cube is given by 6a² where a is the edge of a cube

Now let x is the edge of one cube and y is the edge of second cube

Therefore

According to question we have

$\dfrac{\text {Surface area of cube one}}{\text {Surface area of cube two}} = \dfrac{36}{49} \\\\\Rightarrow \dfrac{6x^2}{6y^2} =\dfrac{36}{49} \\\\\Rightarrow \dfrac{x^2}{y^2} =\dfrac{36}{49}\\\\\Rightarrow \dfrac{x}{y} =\sqrt{\dfrac{36}{49}} =\dfrac{6}{7}$

Hence the ratio of edges of two cubes is 6:7

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Answer 2

Answer:

find the surface area of cubical box whose each side is 4 m Assuming that the box has one lid