Question

A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has greater total surface area and by how much. Also what is the volume of cuboidal box?​

Answer 1

A cuboid has six faces and the total surface area is the sum of the surface area of the 6 faces and the Lateral surface area is the sum of the area of the four faces. Thus, the cubical box has a greater lateral surface area by 40 cm2 and the cubical box has a smaller total surface area by 10 cm2.

Answer 2

total surface area of cube = 600cm²

of cuboid = 2(125+80+100) = 610 cm²

total surface area of cuboid is more by 10cm²

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