Question

Find the side of a cube whose total surface area is 600 sq.cm.​

Answer 1

Answer:

10

Step-by-step explanation:

total surface area = 6 a²

600 = 6 a²

a² = 600/6

a² = 100

a = √100

a = 10

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Answer 2

                      Solution

Total Surface Area of a cube is given as 600 cm²

We , know that the formula for finding the TSA or Total Surface area of a cube

is 6a² ( where 'a' is the side of the cube )

∴ Here ,

6a² = 600

$\sf \implies a\² = \dfrac{600}{6}$

∴ a² = 100 cm.

We are asked to find 'a' .

Therefore,

$\sf a = \sqrt{100} cm$

a = 10 cm .

So , The Cube will look like :-

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