Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 43
Three cubes of volume $$1cm^{3}$$ , $$216cm^{3}$$ and $$512cm^{3}$$ are melted to form a new cube. What is the diagonal of the new cube?
Solution
The volume of the new cube is equal to the sum of volumes of the three cubes i.e., volume of the new cube = 1+216+512 = 729 $$cm^3$$
The volume of cube of side a is given by $$a^3$$
=> $$a^3$$ = 729
=> a = 9
Therefore, the side of new cube is 9 cm.
Length of diagonal of cube = $$\sqrt{3}a$$
Length of diagonal of new cube =Â $$9\sqrt{3}$$ cm
The answer is option A.
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
