Standard Units of Measurements

A square piece of paper has a side of $5 \mathrm{cm}$. Find its area in (a) ${\mathrm{cm}}^2$, (b) ${\mathrm{m}}^2$, (c) ${\mathrm{mm}}^2$.

The unit of force in SI system is $1 \mathrm{newton}=1 \mathrm{kg} \mathrm{m} {\mathrm{s}}^{-2}$. In CGS system its unit is dyne and it is given as $1 \mathrm{dyne}=1 \mathrm{g} \mathrm{cm} {\mathrm{s}}^{-2}$. Arrange the following steps in a sequential order to relate the SI unit and CGS unit of force.

(a) Write the conversion of $\mathrm{kg}$ and $\mathrm{m}$, into $\mathrm{g}$ and $\mathrm{cm}$ respectively.

(b) Substitute the conversion in $1 \mathrm{newton}=1 \mathrm{kg} \mathrm{m} {\mathrm{s}}^{-2}$.

(c) Write the relation between $1 \mathrm{newton}$ and $1 \mathrm{dyne}$.

(d) Write in place of $1 \mathrm{g} \mathrm{cm} {\mathrm{s}}^{-2}$ as $1 \mathrm{dyne}$.

Find the correct arrangement of the following steps in sequence to find the volume of an irregular shaped solid body.

(A) The irregular shaped solid is tied with the thread and is lowered into the measuring scale.

(B) Take a measuring cylinder with graduations in millimeters

(C) The level of water in the measuring cylinder rises after immersion of solid(say $V_2$)

(D) First it is filled with water to a certain level or volume (say $V_1$)

(E) The volume of stone is equal tot the difference between the volume of the water after and before the immersion of the stone($V_2-V_1$).

$1 {\mathrm{m}}^3=\mathrm{\_\_\_\_\_} \mathrm{litre}.$

$1 \mathrm{kg} {\mathrm{m}}^{-3}=$_____.

$1 {\mathrm{m}}^3 =$_____.

Find the area of a coloured paper used to stick to a sphere of radius $7 \mathrm{cm}$.

Find the unit of work if work is the product of force and displacement,$force = mass \times acceleration,$where $acceleration =\frac{ length}{tim{e}^2}$.

Name the physical quantity used to measure the following things. Also, convert the units of measurement.

Convert $42 \mathrm{l}$ into millilitres.

Name the physical quantity used to measure the following things. Also, convert the units of measurement.

Convert $300 \mathrm{cm}$ into metres.

Harish lives $3.5 \mathrm{km}$ away from his school whereas the distance between Aman's home and school is $3140 \mathrm{m}$. Convert the kilometres into metres. Who do you think lives closer to the school and by how many metres?

Which of these could Jenny use to measure her son’s height?

Which of these is a standard unit of length?

 The diameter of a pin is $0.5 \mathrm{mm} =\mathrm{\_\_\_\_\_m}.$

Which does not belong here?

The height of a man is $1.56 \mathrm{m}$. This height is equal to:

The length of a book rack is $2.15 \mathrm{m}$. Express this length in $\mathrm{mm}$.

A student lives at a distance of $2280 \mathrm{m}$ from his school. Express this distance in $\mathrm{km}$.

The distance between your school and your house is $2250 \mathrm{m}$. Express this distance in kilometre.

Unscramble the following to form a unit of length.
ICUTB = _____.