A cube has an internal point P such that perpendicular distances from P to the faces of the cube are 2, 4,

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July 2023 1 5 Report

A cube has an internal point P such that perpendicular distances from P to the faces of the cube are 2, 4, 6, 8, 10, 12 cms. How many other internal points of this cube have this property?

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divya7tha1

Answer:

Given: A1=lb=8sq.cm

A2=bh=18sq.cm

A3=lh=25sq.cm

⇒lb×bh×lh=8×18×25

⇒(lbh)2=2×2×2×3×3×2×5×5

⇒lbh=(2×2×2×3×3×2×5×5)

∴lbh=2×2×3×5=60cubic cm

∴ Volume of the cuboid=lbh=60cubic cm

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