Mathematics
Grade10
Easy

Question

A cube has the same volume as a box that is 4 ft 3 in. long, 2 ft 5 in. wide, and 3 ft 3 in. deep. Find the length of the cube.

  1. 36.64 in.
  2. 36.84 in.
  3. 35.64 in.
  4. 38.64 in.

hintHint:

Volume of cube table attributes columnalign right left columnspacing 0em 2em end attributes row blank cell x cubed end cell end table

The correct answer is: 38.64 in.


    Let the side of the cube be .
    The volume of cube = The volume of the box
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell x cubed equals 4 text ft end text 3 text in end text cross times 2 text ft end text 5 text in end text cross times 3 text ft end text 3 text in end text equals 51 text in end text cross times 29 text in end text cross times 39 text in end text equals 57681 text in end text cubed end cell row blank cell x equals cube root of 57681 text in end text equals 38.64 text in end text end cell end table

    The number which produces a given number when cubed is called as cubhe root

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