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atroni [7]
3 years ago
11

This box can be packed with 48 unit cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0
A cube has six faces so 48/6 is the length of one edge.
Volume of a cube is length times breadth times height
so 48/6= 8
A cube has equal length of sides
So 8x8x8= 512cm^3
8090 [49]3 years ago
5 0

Answer:

48m^{3}

Step-by-step explanation:

Total number of unit cubes in box = 48

Length of each unit cube (a)= 1 meter

volume of a cube = (length)^{3}

volume of one cube unit = a^{3}

volume of one cube unit = 1^{3}

volume of one cube unit = 1 m^{3}\

volume of 48 unit cubes = 1*48 = 48m^{3}

∴ volume of box = 1*48 = 48m^{3}

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