Aptitude - Volume and Surface Area
- Volume and Surface Area - Formulas
- Volume and Surface Area - General Questions
- Volume and Surface Area - Data Sufficiency 1
- Volume and Surface Area - Data Sufficiency 2
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
What is the volume of 32 metre high cylindrical tank? | |
I. | The area of its base is 154 m^{2}. |
II. | The diameter of the base is 14 m. |
Given, height = 32 m.
I gives, area of the base = 154 m^{2}.
Volume = (Area of the base x Height) = (154 x 32) m^{3}.
Thus, I alone gives the answer.
II gives, radius of the base = 7 m.
Volume = r^{2}h | = | 22 | x 7 x 7 x 32 | m^{3} | = 4928 m^{3}. | |
7 |
Thus, II alone gives the answer.
Correct answer is (C).
Is a given rectangular block, a cube? | |
I. | At least 2 faces of the rectangular block are squares. |
II. | The volume of the block is 64. |
I gives, any two of l, b, h are equal.
II gives, lbh = 64.
From I and II, the values of l, b, h may be (1 ,1 , 64), (2 ,2 ,16), (4, 4, 4).
Thus, the block may be a cube or cuboid.
Correct answer is (D).
What is the capacity of a cylindrical tank? | |
I. | Radius of the base is half of its height which is 28 metres. |
II. | Area of the base is 616 sq. metres and its height is 28 metres. |
I gives, h = 28 m and r = 14.
Capacity = r^{2}h, which can be obtained.
Thus, I alone gives the answer.
II gives, r^{2} = 616 m^{2} and h = 28 m.
Capacity = (r^{2} x h) = (616 x 28) m^{3}.
Thus, II alone gives the answer.
Correct answer is (C).
What is the height of a circular cone? | |
I. | The area of that cone is equal to the area of a rectangle whose length is 33 cm. |
II. | The area of the base of that cone is 154 sq. cm. |
II gives the value of r.
But, in I, the breadth of rectangle is not given.
So, we cannot find the surface area of the cone.
Hence, the height of the cone cannot be determined.
Correct answer is (D).
What is the volume of a cube? | |
I. | The area of each face of the cube is 64 square metres. |
II. | The length of one side of the cube is 8 metres. |
Let each edge be a metres. Then,
I. a^{2} = 64 a = 8 m Volume = (8 x 8 x 8) m^{3} = 512 m^{3}.
Thus, I alone gives the answer.
II. a = 8 m Volume = (8 x 8 x 8) m^{3} = 512 m^{3}.
Thus, II alone gives the answer.
Correct answer is (C).