28 August, 04:36
The volume of a box containing 15 identical cubes is 295245cu. m. Find the edge of the cube.
28 August, 05:00
Edge length of the cube = 27 m
Dimensions of the box is length = 135 m, width = 81 m, height = 27 m
The box contains 15 identical cubes therefore, we have
Edge length of cube = Side, s, of cube
15 * s³ = 295245 m³
∴ s³ = 295245/15 = 19683 m³
s = ∛19683 = 27 m
Hence the edge length of the cube = 27 m
The dimension of the box is length = 5 * 27 = 135 m
Width = 3 * 27 = 81 m
height = 27 m.
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» The volume of a box containing 15 identical cubes is 295245cu. m. Find the edge of the cube.