Question

17 किसी घन का आयतन 2197 सेमी है। इसका पृष्ठीय क्षेत्रफल एवं विकर्ण ज्ञात कीजिए। Volume of a cube is 2197 cms. Find its surface and the diagonal.
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Answer 1

Given :-

Volume of a cube is 2197 cm³. Find its surface and the diagonal.

To Find :-

Surface Area

Diagonal

Solution :-

We know that

Volume = edge³

2197 = e³

√2197 = e

13 = e

Now

Surface Area of cube = 6a²

SA = 6(13)²

SA = 6 × 169

SA = 1014 cm²

Diagonal = √3 × a

D = √3 × 13

D = 13√3 cm