Question

A cubical box has dimensions 4in × 2in × 8in. How many cubes dimension 2in × 2in × 2in can be fixed in Cubical box? Write the formula

Answer 1

We can find how many small cubes (of edge of 2 in) fit in the cubical box of dimensions 4 in x 2 in x 8 in by dividing the volume of the box by the volume of the small cube:

`n=(V_(box))/(V_(cube))=(4*2*8)/(2*2*2)=(64)/(8)=8`

We can check this result by looking at the dimensions of the box.

On the base length of 4 in will fit two cubes and on the base width of 2 in will fit one cube.

Then, for each 2 inches of height we can fit 2 cubes.

As we have 8 inches, we can fit 8/2*2 = 8 cubes.

Answer: 8 cubes.