The surface area of a cube is 1536cm^2 find the volume of the material whose thickness is 5mm - Maths - Surface Areas and Volumes of Solids

Question

The surface area of a cube is 1536cm^2 find the volume of the
material whose thickness is 5mm

Rashi Lokwani · Accepted Answer

Dear Student,

Let edge of cube = a cmSurface area of cube = 1536 cm26a2 = 1536a2 = 15366a2 = 256a = 256a = 16 cmOuter Volume of cube = a3 = 163 = 4096 cm3Now, thickness of material = 5 mm = 0
5 cmedge of inside of the cube, b =a - 0
5 - 0
5 = 16 - 1 = 15 cmInner volume of cube = b3 = 153 = 3375 cm3Volume of material = Outer Volume of cube - Inner Volume of cube  = 4096 - 3375 = 721 cm3

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