Question

the internal measurement of a box are 20 cm long ,16 cm wide and 24 cm high . how many 4 cm cubes could be put into a box.

Answer 1

Hi friend
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Your answer
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$now \\ \\ no. \: of \: cubes \: that \: can \: be \: put \: into \: the \: box \: = \frac{20 \times 16 \times 24}{4 \times 4 \times 4} \\ \\ = 120 \: cubes$
Hope it helps.
#SethRollins1

Answer 2

Answer:

120 cubes

Step-by-step explanation:

The internal measurement of a box are 20 cm long ,16 cm wide and 24 cm high .

Since the box is in the shape of cuboid

So, volume of box = $Length \times Breadth \times Height$

                               = $20\times 16 \times 24$

                               = $7680 cm ^3$

Now we are given that we are required to fill box with cubes of side 4 cm

So, volume of cube = $Side^3$

                                 = $4^3$      

                                 = $64cm^3$    

So, number of cubes can be filled in a box = $\frac{7680}{64}$    

                                                                       = $120$              

Hence 120 cubes could be put into a box