A shipping box in the shape of a cube has an edge length of 8 inches. It can hold 8 mugs with no extra space between them.


If the dimensions of the shipping box are all doubled, what is the maximum number of mugs that the larger box can hold?

16
24
48
64

A shipping box in the shape of a cube has an edge length of 8 inches It can hold 8 mugs with no extra space between them If the dimensions of the shipping box a class=

Respuesta :

The  bigger box will have a volume 2^3 greater than the smaller box. That is  8 times larger.

So number of mugs it can hold is 8*8  = 64 mugs.

The maximum number of mugs that the larger box can hold will be 64

What is a cube?

A cube is a three-dimensional object constructed with six square-shaped surfaces.

Given that:-

  • A shipping box in the shape of a cube has an edge length of 8 inches.
  • It can hold 8 mugs with no extra space between them.
  • If the dimensions of the shipping box are all doubled what will be the number of the mugs.

The number of the mugs will be calculated as:-

The bigger box will have a volume 2^3 greater than the smaller box. That is  8 times larger.

So the number of mugs it can hold is

8  x   8  =   64 mugs.

Therefore the maximum number of mugs that the larger box can hold will be 64

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