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Surface Areas and Volumes

1 Board Maths previous year questions on Surface Areas and Volumes — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.

Q1 FREE PREVIEW

The total surface area of a cube is 486 \(c{m}^{2}\). Measure of the side of the cube will be:

a

6 cm

b

7 cm

c

8 cm

d

9 cm

✓ Correct answer: d)

9 cm

Explanation

Formula for total surface area of a cube:

\(\text{TSA}=6{a}^{2}\)

Where \(a\) is the side of the cube.

Given: \(\text{TSA}=486{\text{ cm}}^{2}\)

\(6{a}^{2}=486\)

\({a}^{2}=\frac{486}{6}=81\)

\(a=\sqrt{81}\\ =9\text{ }\text{cm}\)​

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