In the Indus Valley Civilisation (about $3000\, B.C.$),the bricks used for construction work had dimensions in the ratio:

The thickness of a metallic tube is $5 \, mm$ and the inner diameter of the tube is $10 \, cm$. Find the mass of a $70 \, cm$ long tube,if the density of the metal is $8 \, g/cm^3$. (in $g$)

How many cubes of $1 \,cm$ edge can be cut from a wooden cuboid measuring $5 \,cm \times 4 \,cm \times 3 \,cm$? Find the ratio of the total surface area of the cuboid to the total surface area of all the cubes.

The lateral surface area of a cube is $256 \, m^2$. The volume of the cube is (in $m^3$)

$1 \, m^3 = \dots \dots$ litre

The areas of the three surfaces meeting at one vertex of a cuboid are $700 \, cm^2$,$300 \, cm^2$,and $525 \, cm^2$ respectively. Find the dimensions and volume of the cuboid.