In a swimming pool measuring 80 m x 60 m, 120 men take a dip. If the average displacement of water by a man is 6 m$^3$, then the rise in water level is -

Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is?

A metallic sphere of radius 6 cm is melted and recast into a cone of radius 4 cm. Find the height of the cone.

The areas of three adjacent faces of a cuboidal box are 96 cm², 48 cm² and 72 cm², respectively. The volume of the box is

If the ratio of the radii of the sphere and hemisphere is √3:2, then determine the ratio of their total surface area?

Read the information given carefully and answer the question that follows:

(A) 72 kmph = 20 m/s

(B) 25 m/s = 80 kmph

(C) Total Surface area of a Cube of edge length $a$ is $6a^2$

(D) Volume of a Cube of edge length $a$ is $a^3$

Choose the correct answer from the options given below:

If the areas of adjacent faces of a cuboid (rectangular prism) are in the ratio of 2: 3: 5 and its volume is 900 cm³, then the length of the longest side is