Mathematics
The dimensions of a metallic cuboid are 100 cm × 80 cm × 64 cm. It is melted and recast into a cube. Find :
(i) the edge of the cube,
(ii) the surface area of the cube.
Mensuration
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Answer
(i) Given,
Length = 100 cm
Breadth = 80 cm
Height = 64 cm
Calculating the volume of the cube,
Volume of cube = l × b × h
= 100 × 80 × 64
= 512000 cm3.
Let the edge of cube be a cm,
⇒ a3 = 512000
⇒ a =
⇒ a = 80 cm.
Hence, edge of the cube = 80 cm.
(ii) Surface area of the cube = 6a2.
= 6 × (80)2
= 6 × 6400
= 38400 cm2.
Hence, surface area of the cube = 38400 cm2.
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