Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 24
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.
Solution
Whenever some cubes are melted to form a single larger cube, the total volume always remains constant.
So, Sum of the volumes of three small cubes = Volume of the larger cube.
Let the side of the lager cube so formed be 'a' cm.
Then $$1^3 + 6^3 + 8^3 = a^3$$
$$\Rightarrow a^3 = 729$$
$$\Rightarrow a = 9$$ cm.
Surface area of cube so formed = 6*$$a^2$$ = $$6\times 9^2 = 6\times 81 = 486 cm^2$$
Video Solution
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with detau solutions PDF
- Top 500 MBA exam Solved Questions for Free
CMAT Quant Questions | CMAT Quantitative Ability
CMAT Averages, Ratio and Proportion QuestionsCMAT Venn Diagrams QuestionsCMAT Quadratic Equations QuestionsCMAT Linear Equations QuestionsCMAT Progressions and Series Questions
CMAT DILR Questions | LRDI Questions For CMAT
CMAT Arrangement QuestionsCMAT Logical Reasoning QuestionsCMAT Set Theory QuestionsCMAT Charts QuestionsCMAT Data Interpretation Basics Questions
