Multiple choice

The sides of a rectangular solid are $72 cm, 75 cm $ and $135 cm$. The side of the cube (in cm) whose volume is equal to the solid, is

  1. $75cm$
  2. $80cm$
  3. $85cm$
  4. $90cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of rectangular solid = 72 * 75 * 135 = 729000. Side of cube = cube root of 729000 = 90.

AI explanation

The volume of the rectangular solid is $72 \times 75 \times 135 = 729000$ cubic cm. The volume of a cube is $s^3$, so setting them equal gives $s^3 = 729000$. Taking the cube root reveals the side of the cube is 90 cm.

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