Question

Four congruent square pieces with lengths of sides of 6 cm were cut out of corners of a square piece of cardboard. Then this piece of cardboard was folded into an open-top box. Find the original dimensions of the piece of cardboard if the volume of the resulting box is 486 cm3.
100 + BRAINLIEST

Answer 1

I need help on this one too this stuff is hard sometimes

Answer 2

Answer:

21 cm

Step-by-step explanation:

You know the volume is 486 cm^3

The height for the box is 6 cm

The length and the width equal each other (because it's a square)

We can call the length and the width "x"

The volume of a box equals V=lwh

Now we can substitute

486=6*x*x

486=6x^2

81=x^2

x=9 or -9

x cannot be -9 because dimensions cannot be negative

Now we have to add 9+6+6 to find the whole side of the original square (before the 6x6 sqares were cut out)

9+6+6=21