True/False

Mathematics

Chapter 13: Surface areas and Volumes

Class 10

True False Mathematics Chapter 13: Surface areas and Volumes for Class 10th is very important as these type of questions help in scoring good marks. True False type questions are to be answered to the point and hence very helpful in overall scoring. True False Type of questions helps students to think Critically on every aspects of life.

Here is a collection of few questions for CBSE Class 10th Term 2 Exams. These True False are fully solved. 

State whether the following statements are True/False.

DIRECTION : (Q.1 to 4) Read the following statements and write your answer as true or false.

Question.1.
If the total surface area of a cube is `\frac{50}{3} m^{2}`, then its side is `\frac{5}{3}` m.

Question.2.
The volume of cylinder is `\pi r^{3}h`.

False

Question.3.
Surface area of a square pyramid is `S = s^{2}+2sl`.

Question.4.
If we double the radius of a hemisphere, its surface area will also be doubled.

False

Question.5.
Volume of the solid is measured in cubic units.

Question.6.
A cube has eight faces.

False

Question.7.
Area is the length of the boundary of a closed figure.

False

Question.8.
Volume of a frustum of cone `\frac{1}{2} \pi h (r_1^2+r_2^2+r_{1}r_{2})`

False

Question.9.
Area is the total surface covered by a closed figure.

Question.10.
A solid cone of radius `r` and height `h` is placed over a solid cylinder having same base radius and height as that of a cone. The total surface area of the combined solid is `\pi h [\sqrt{r^{2}+h^{2}}+3r+2h]`

False

Question.11.
The volume of sphere of diameter is `\frac{\pi d^{3}}{6}`

Question.12.
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is `\frac{4}{3}\pi a^{3}`

False

Question.13.
The total surface area of a solid cylinder of radius r and height h is `2\pi r(h+r)`.

Question.14.
A cone having thrice the height of a cylinder and equal base radius have the same volume as that of the cylinder.

Question.15.
An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone `+` area of circular base `+` curved surface area of cylinder.

Question.16.
If the base area and the volume of a cone are numerically equal, then its height is 3 units.

Question.17.
A circle is revolved about any of its diameters, a hollow sphere is generated.

Question.18.
If the curved surface of a right circular cylinder is 1760 `cm^{2}` and its radius is 21 cm, then its height is `\frac{80}{3}` cm.

False

Question.19.
If a right circular cone and a cylinder have equal circles as their base and have equal heights, then the ratio of their volume is 2 : 3.

False

Question.20.
The curved surface area of a frustum of a cone is `\pi (r_{1}+r_{2})`, where `l = \sqrt{h^{2}+(r_{1}+r_{2})^{2}}` , `r_{1}` and `r_{2}` are the radii of the two ends of the frustum and `h` is the vertical height.

False

Question.21.
Volume of cone is `\frac{1}{3}\pi r^{2}h`.

Question.22.
All faces of a cuboid must be rectangular.

False

Question.23.
Two identical solid cubes of side ‘a’ are joined end to end. Then the total surface area of the resulting cuboid is `12a^{2}`.

False

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