Ali wants to use 210 one-centimetre cubes to make a cuboid such that each of its sides is longer than 1 cm. There are 6 possible cuboids that he can make. Find the dimensions of any 3 of them.
Answers
Given : 210 one-centimetre cubes
Make a cuboid such that each of its sides is longer than 1 cm.
There are 6 possible cuboids
To Find : the dimensions of any 3 of them.
Solution:
210 one-centimetre cubes
=> Volume of cuboid = 210 cm³
210 = 2 x 3 x 5 x 7
There are 4 factors we can take 2 factors in one dimension an two others for other two side
2 factors out of 4 can be selected in ⁴C₂ = 6 ways
2 * 3 = 6 , 5 , 7
2 * 5 = 10 , 3 , 7
2 * 7 = 14 , 3 , 5
3 * 5 = 15 , 2 , 7
3 * 7 = 21 , 2 , 5
5 * 7 = 35 , 2 , 3
Dimensions of all 6 cuboids in cm are
5 , 6 , 7
3 , 7 , 10
3 , 5 , 14
2 , 7 , 15
2 , 5 , 21
2 , 3 , 35
Learn More:
sphere, cube, cylinder, cuboid & cone
brainly.in/question/13532326
dimensions of a cuboid 3cm 4 cm 10 cm then its surface - Brainly.in
brainly.in/question/6008345
Two cubes, each of volume 512 cm³ are joined end to end. Find the ...
brainly.in/question/15911136