Three cubes of metal with edges 3cm, 4cm and 5cm are melted to form a single cube, then its total surface area is:
216 cm²
Volume of the melted cube = 3^3 + 4^3 + 5^3 = 27 + 64 + 125 = 216 cubic cm. The side of the new cube is the cube root of 216, which is 6 cm, so its total surface area is 6 x 6^2 = 216 sq cm.
Similar Questions
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and height of the cone is equal to its radius. Then the volume of the solid is:
If \(1+\cfrac{5x}{1-\cfrac{1}{2+\cfrac{2x}{1-x}}}=3\), then the value of 'x' is:
If x% of y is 150 and y% of z is 300, then the relation between x and z is:
In the following figure \(\angle a+\angle b=?\), when \(l\parallel m\):
The word "Mathematics" is derived from the following Greek words:
(a) Techne
(b) Arsmathematica
(c) Manthanein
If \(a^2+\frac{1}{9^2}=\frac{7}{3}\), then what is the value of \(\left(a^3-\frac{1}{a^3}\right)\)?
The total surface area of a hemisphere is \(462 \text{ cm}^2\). The diameter of this hemisphere is:
What is the purpose of formative evaluation in mathematics?
Which of the following is least appropriate about the nature of mathematics?
Statement I:
Mathematical concepts are hierarchical
Statement II:
Mathematics in inclusive as it always includes social subjectivites
Statement III:
Logical reasoning plays as important role in mathematics
If \(A:B:C = 2:3:4\) then \(\dfrac{A}{B} : \dfrac{B}{C} : \dfrac{C}{A}\) is equal to:
Important Questions from Miscellaneous
- List-I with List-II:
List-I
(Relief Materials)List-II
(Color Code)A. Shelter I. Yellow B. Clothes II. Khaki C. Food III. Red D. Medicine IV. Brown
Choose the correct answer from the options given below: - What was a key reform introduced by the Waqf (Amendment) Act, 2025?
Which of the following is NOT a state function or state variable in a thermodynamic system?
- What is the full form for "BPL" in Socio-economic aspects?
- In October 2024, which of the following companies was awarded the contract for design, manufacturing and commissioning of two high-speed trainsets by Integral Coach Factory (ICF) to be used in India's first bullet train between Mumbai and Ahmedabad?
