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Find the volume and surface area of a cuboid 18m long, 16 m broad and 8 m high.

  • A.2304 \(m^{3}\), 1120 \(m^{2}\)
  • B.3304 \(m^{3}\), 1200 \(m^{2}\)
  • C.2004 \(m^{3}\), 1100 \(m^{2}\)
  • D.2314 \(m^{3}\), 1130 \(m^{2}\)

Answer: A

The volume is 2304 m3 and the surface area is 1120 m2. For a cuboid with length 18 m, breadth 16 m and height 8 m, the volume is \[ 18\times 16\times 8 = 2304 \] and the total surface area is \[ 2(lb + bh + hl) = 2(288 + 128 + 144) = 1120 \] The other options give different volumes (3304, 2004 and 2314), which do not equal the product of the three edges, so they are wrong.

The three face areas 288, 128 and 144 each appear twice in the surface area, and 288 x 8 gives the volume.

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