Question
Download Solution PDFThe sum of the length of the edges of a cube is equal to one eighth of the perimeter of a square. If the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one edge of the cube is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the length of side of a cube and square be a and b units respectively
Now,
⇒ Sum of length of edges of a cube = (1/8) × perimeter of square
⇒ 12a = (1/8) × 4b
⇒ 24a = b
Also,
⇒ Volume of cube = area of square
⇒ a3 = b2
⇒ a3 = (24a)2
⇒ a = 576 unitsLast updated on Jun 2, 2025
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