Cardboard box

Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long.
Julia cut four squares with a side of 2 dm from the corners of the same cardboard and created a box. He wants to put cubes with an edge of 2 dm in it. How many cubes will fit in Julia's box?

Correct answer:

n =  16

Step-by-step explanation:

V=108 13=108 dm3 c=3 dm  V = a2 c  a=V/c=108/3=6 dm x=a+2 c=6+2 3=12 dm  c2=2 dm  a2=x2 c2=122 2=8 dm V2=a22 c2=82 2=128 dm3 V3=23=8 cm3  n=V2/V3=128/8=16

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you want to convert area units?
Do you know the volume and unit volume, and want to convert volume units?

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: