Length of diagonal of a cube is \(10\sqrt{3}\) cm. Then its volume is:
0.001 m³
The diagonal of a cube of side \(s\) is \(s\sqrt3\). Given \(s\sqrt3=10\sqrt3\), so \(s=10\) cm. Volume \(=s^3=1000\) cm³, and since \(1\text{ m}^3=10^6\text{ cm}^3\), this equals \(0.001\) m³.
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 the polynomial 3x² − x³ − 3x + 5 is divided by another polynomial x − 1 − x², the remainder comes out to be 3, the quotient polynomial is:
If the radius of a right circular cylinder is decreased by \(10\%\) and the height is increased by \(20\%\), then the percentage increase/decrease in its volume is:
Given below are 2 statements:
Statement I: An article of Rs. 500 sold for Rs. 400 earned a loss of 5%.
Statement II: To earn 8% profit, an article of Rs. 600 was sold for Rs. 648.
In light of the above statements, choose the correct option given below.
If x% of y is 150 and y% of z is 300, then the relation between x and z is:
What is the purpose of formative evaluation in mathematics?
A 240 m long train crosses a platform that is twice its length in 5 min. What is the speed of the train?
Rajan purchased two ceiling fans at the rate Rs 2,500 each. Out of which one fan was sold at 15% profit and other was sold at 8% loss. How much profit or loss percentage is obtained in the whole transaction?
The amount given on compound interest becomes Rs. 5000 in 2 years and Rs. 5500 in 3 years. Find the amount and interest rate.
If \(1+\cfrac{5x}{1-\cfrac{1}{2+\cfrac{2x}{1-x}}}=3\), then the value of 'x' is:
Read the given figure and find the region representing persons who are educated and employed but not confirmed in job.

The magazine in which Mahatma Gandhi mentioned what he wanted the Constitution to do is:
Which gas shields the surface of the earth from ultraviolet radiation from the sun?
Which event is marked as an Intangible Cultural Heritage of Humanity by UNESCO?
Who has been conferred with the rank of the Commander of the Order of the British Empire in 2018?