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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much?

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much? Correct Answer Cubical box, 40 cm<sup>2</sup>

If each edge of the cube is a, then the lateral surface area of this cube would be 4a2.

Acubical = 4(10 × 10) = 400 cm2

If we take the length of the cuboid as l, breadth as b and the height as h, then

Lateral surface area of a Cuboid = 2(lh + bh) = 2h(l + b)

Acuboidal = 2(12.5 + 10)(8) = 360 cm2

So, the lateral surface area of the cubical box is greater by (400 - 360 = 40) 40 cm2

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