List of top Mathematics Questions on Volume of Cube, Cuboid and Cylinder

The volume of the cylinder is \( 448 \pi \, \text{cm}^3 \) and height 7 cm. Then its lateral surface area is:

The volume of a cuboid is \( x^3 - 7x + 6 \), then the longest side of the cuboid is:

Find \( A^{-1} \), if \[ A = \begin{pmatrix} 1 & 2 & 1 \\ 2 & 3 & -1 \\ 1 & 0 & 1 \end{pmatrix} \] Hence, solve the following system of equations: \[ x + 2y + z = 5 \\ 2x + 3y = 1 \\ x - y + z = 8 \]

Check whether the relation \( S \) in the set of real numbers \( \mathbb{R} \), defined by \( S = \{(a, b) : a - b + \sqrt{2} \text{ is an irrational number} \} \), is reflexive, symmetric, or transitive.

A biased die is twice as likely to show an even number as an odd number. If such a die is thrown twice, find the probability distribution of the number of sixes. Also, find the mean of the distribution.

If the volume of a cylinder is 500 m³ and the area of its base is 25 m², then its height (in m) is

Which of the following statements are incorrect?(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\) (B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  (C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  (D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  (E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  Choose the correct answer from the options given below:

A 10 m long, 4 m high and 24 cm thick wall is to be built using bricks having dimensions 25 cm × 12 cm × 8 cm. Number of bricks required is :

The perimeter of one face of a cube is 24cm, its volume must be :

Which of the following statements are incorrect?
(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\)
(B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  
(C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  
(D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  
(E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  
Choose the correct answer from the options given below:

An open box with square base is to be made out of a given quantity of cardboard of area \(P^2\) sq. units. The maximum volume of the box is :

If a right circular cylinder a height 14cm is increased in a sphere of radius 8cm then volume of the cylinder (in cm³)- (use π = \(\frac{22}{7}\)).

What is the volume of a 6m deep tank having rectangular shaped top 6mx4m and bottom 4mx2m (compound through the use of prismoidal formula)

Which vessel shown in the below figure can hold more water?

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3 then the ratio of their volumes are

Which of the following formula is associated to cylinder?

Ratio of volume of cylinder and cone whose radii are equal and having same heights.