Question

TSA of cube is 150 cm² fjnd perimeter of any face​

Answer 1

Answer:

Step-by-step explanation:

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formula of TSA of cude = 6*(side)^2

let the side of the square be 'a'

.: 6a^2 = 150cm^2

a^2 = 25cm^2

a = 5cm [.: side can'nt be negative]

.: perimeter of face of cube = 4*side

4*5cm

= 20cm

Answer 2

$\setlength{\unitlength}{4mm}\begin{picture}(10,6)\thicklines\put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(4.6,-0.5){\bf\large a cm}\put(13.5,3){\bf\large a cm}\put(-4,5.8){\bf\large a cm}\end{picture}$

Let us assume that the side of the cube Is a cm .

Thus , the total surface area of the cube is 6 a² cm².

But , the value of TSA is given as 150 cm².  

Hence , 6a² = 150

> a² = 25

> a = 5 cm .

Hence , the side of the cube is 5 cm .

Perimeter of any face = 4a = 20 cm .

This is the required answer .

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