Metallic cuboids measuring 36 cm x 24 cm x 16 cm is melted and formed into a cube.
Find the side of the cube.
Share
Metallic cuboids measuring 36 cm x 24 cm x 16 cm is melted and formed into a cube.
Find the side of the cube.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Volume of cuboid = Volume of cube
Volume of cuboid = lbh
= 13824 cm cube
Volume of cube = (side) cube
13824 cm = (side) cube
therefore, side of cube = 24 cm
Given :
To find :
Formula Used :
Step-by-step explanation :
As We know that,
Volume of cuboid = length x breadth x height
Substituting the values in the above formula, we get,
= 36 x 24 x 16
= 13,824.
Therefore, Volume of cuboid = 13,824 cm³.
Now,
According to the question,
Volume of cuboid = Volume of cube = side³
Substituting the values in the above formula, we get,
side³ = 13,824
side = ³√13,824
side = 24.
Therefore, Side of cube = 24 cm.