Machine-translated by Google. Questions are authored in English.
Top

Discussion

If the surface area of cube is 486 cm2, then its volume in cm3 will be?

  • A.729
  • B.625
  • C.743
  • D.216

Answer: A

The volume is 729 cm3.

A cube has six square faces, so its surface area is \(6a^{2}\):

\[ \begin{aligned} 6a^{2} &= 486 \\ a^{2} &= 81 \Rightarrow a = 9\ \text{cm} \\ V &= a^{3} = 9^{3} = 729\ \text{cm}^{3} \end{aligned} \]

625 is \(25^{2}\), 216 is \(6^{3}\) and 743 is not a cube at all; none comes from an edge of 9 cm.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.