14. The square on the diagonal of a cube has an
area of 1875 sq. em. Calculate
(i) the side of the cube.
(ii) the total surface area of the cube.
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14. The square on the diagonal of a cube has an
area of 1875 sq. em. Calculate
(i) the side of the cube.
(ii) the total surface area of the cube.
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Answer:
367.4234 sq cm
Step-by-step explanation:
If the area of the diagonal of cube = 1875 sq cm
Then, 1/2*base*height=1875
But the base and height are equal to the side of cube, as cube has equal sides.
So, let the side of cube be x
Then, 1/2*x*x=1875
Or,x^2/2=1875
Or,x^2= 1875*2=3750
Or,x=√3750=61.23724
Then, total surface are=6*61.23724=367.4234 sq cm
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