A large cube is formed from the material obtained by melting three smaller cube

Sail E0 Webinar

Question

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

Answer: Option C
-    Volume of the large cube = (33 + 43 + 53) = 216 cm3.
Let the edge of the large cube be a.
So, a3 = 216         a = 6 cm.
  Required ratio = 6 x (32 + 42 + 52) = 50 = 25 : 18. 6 x 62

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? ....

Question 2. A hollow spherical metallic ball has an external diameter 6 cm and is $$\frac{1}{2}$$ cm thick. The volume of metal used....The volume of metal used in the ball is :

Question 3. If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cylinder of base diame....8 cm, then the height of the cylinder is :

Question 4. The volume of a right circular cone which is obtained from a wooden cube of edge 4.2 dm wasting minimum amount of wood i....edge 4.2 dm wasting minimum amount of wood is :

Question 5. The ratio of the volume of a hemisphere and a cylinder circumscribing this hemisphere and having a common base is :....

Question 6. If the diameter of a sphere is 6 m, its hemisphere will have a volume of :....

Question 7. The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is :....

Question 8. The sum of the radius and the height of a cylinder is 19 m. The total surface area of the cylinder is 1672 m2, what is t....1672 m2, what is the volume of the cylinder ?

Question 9. Given that 1 cu. cm of marble weights 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The ....is 112 kg. The length of the block is :

Question 10. An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimension 2....the total outer surface area of the box is :

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0