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The dimensions of a cuboid are 7 cm, 11 cm, 13 cm. The total surface area is:

  • A.311 cm\(^{2}\)
  • B.622 cm\(^{2}\)
  • C.430 cm\(^{2}\)
  • D.1002 cm\(^{2}\)

Answer: B

The total surface area is 622 cm2.

A cuboid has three pairs of equal faces:

\[ \begin{aligned} S &= 2(lb + bh + hl) \\ &= 2(7 \times 11 + 11 \times 13 + 13 \times 7) \\ &= 2(77 + 143 + 91) \\ &= 2 \times 311 = 622\ \text{cm}^{2} \end{aligned} \]

311 cm2 forgets the factor 2, counting only one face of each pair. 1002 is close to the volume, \(7 \times 11 \times 13 = 1001\) cm3, a different quantity, and 430 cm2 does not follow from the dimensions.

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