Tag: operations involving units of length

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Questions Related to operations involving units of length

Multiple choice maths how much does it weigh? define weight and units of weight conversion of length measurement (length) basic operations with same units operations involving units of length

${\rm{1}}\,{\rm{g/c}}{{\rm{m}}^{\rm{3}}}$ is equal to____________.

  1. ${\rm{1}}\,{\rm{kg/c}}{{\rm{m}}^{\rm{3}}}$
  2. ${\rm{1}}{{\rm{0}}^3}\,{\rm{kg/}}{{\rm{m}}^{\rm{3}}}$
  3. ${\rm{1}}{{\rm{0}}^{ - 2}}\,{\rm{kg/c}}{{\rm{m}}^{\rm{3}}}$
  4. ${\rm{1}}{{\rm{0}}^{ - 3}}\,{\rm{kg/c}}{{\rm{m}}^{\rm{3}}}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We have,

$1\ g/cm^3$

Since,
$1000\ g=1\ kg$
$1\ g=10^{-3} \ kg$

So,

$1\ g/cm^3 =10^{-3}\ kg/cm^3$

Hence, this is the answer.

Multiple choice maths how much does it weigh? define weight and units of weight conversion of length measurement (length) basic operations with same units operations involving units of length

A spherical bowl  with diameter  $24$ m. How much it weigh  (approx. in kg)  (if $1$ gm $= 1$ cubic cm).

  1. $7216473.6 kg$
  2. $216473.6 kg$
  3. $721473.6 kg$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume of sphere = 4/3 pi r^3 = 4/3 pi 12^3 = 7238.2 cubic m = 7238230000 cubic cm. Weight in kg = 7238230000 kg. This matches option A closest.

Multiple choice maths how much does it weigh? define weight and units of weight conversion of length measurement (length) basic operations with same units operations involving units of length

Weight of $1$ mango is $250$ gms. Then identify the weight of $16$ mangos. (Write your answer in kilograms)

  1. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
the weight of $1$ mango $=250 $  $gram$

weight of $16$ mangoes $=250 \times 16 = 4000$  $gram$

We know that

$1$  $kg =1000$  $gram$

$1$  $gram =\dfrac1{1000}$  $kg$

Given That, we have to convert $4000$  $gram$  to   $kg$

$4000$  $gm =\dfrac{1}{1000} \times 4000$  $kg$

                    $ =\dfrac{4000}{1000} $  $kg$

                   $=4$  $kg$

So, option $D$ is correct

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

A conical cup 36 cm high has diameter of base 28 cm It is full of water. The water was poured into a cylindrical jar of radius of base 10 cm. The height of water in the vessel is

  1. 23.52 cm

  2. 16.92 cm

  3. 11.76 cm

  4. 13.65 cm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Vol. of cylinder =Vol. of cone 
$\displaystyle \Rightarrow \pi \times 10^{2}\times h=\dfrac{1}{3}\pi \times 14^{2}\times 36$
$\displaystyle \Rightarrow h=23.52cm$

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

A wire in the form of circle of diameter 42 cm is cut and bent to form a square. The side of the square is

  1. 16 cm

  2. 17 cm

  3. 33 cm

  4. 16.5 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Perimeter of square = Circumference of circle


$\displaystyle 4\times side=\frac{22}{7}\times d$ where $d$ is diameter.

$\displaystyle 4\times side=\frac{22}{7}\times 42=132$
$\displaystyle \Rightarrow side=33\ cm$

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

Convert $4\ m\ 45\ cm$ into centimetres.

  1. $445\ cm$
  2. $4450\ cm$
  3. $4.45\ cm$
  4. $4045\ cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We know that, $1$  $meter =100$  $cm$


To convert  $4$ $m$  $45$  $cm$  to  $centimeter$
Now, $4$ $m = 100 \times 4$  $cm$ $= 400$  $centimeter$
$4$ $m$  $45$  $cm$ $ = 4m + 45cm$
                      $ = 400cm + 45cm$
                      $ = 445cm$

So, Option $A$ is correct

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

A box contains $4$ bags of sugar. The total mass of all $4$ bags is $7$ kg. What is the mass of each bag in grams?

  1. $1.75$ gms
  2. $17.50$ gms
  3. $175$ gms
  4. $1750$ gms
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total number of Bags $=4$


Total mass in 4 Bags $=7 kg$

Total mass in $1$ bag $=\dfrac74 $   $kg$

We know that

$1$  $kg =1000$  $gram$

$1$  $gm =\dfrac1{1000}$  $kg$

we have to convert $\dfrac74$  $kg$  to   $grams$


$\dfrac74$  $kg =\dfrac74 \times 1000$  $gm$

                $=1750$  $gm$

So, Option $D $ is correct 

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

Steven goes to the grocery store and is looking at a winter squash. It has a mass of $1.8$ kilograms. How many grams is the winter squash? 

  1. $1800$ gms
  2. $180$ gms
  3. $18$ gms
  4. $1.8$ gms
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Total mass of  Winter squash $=1.8$   $kilograms$

We know that

$1$  $kg =1000$  $gram$

$1$  $gm =\dfrac1{1000}$  $kg$

we have to convert $1.8$  $kg$  to   $grams$


$1.8$  $kg =1.8  \times 1000$  $gm$

                $=1800$  $gm$

So, Option $A $ is correct 

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

Convert $745$ cm into decimeters.

  1. $745\ dm$
  2. $0\ dm\ 745\ cm$
  3. $7\ dm\ 45\ cm$
  4. $74\ dm\ 5\ cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We know that, $1$  $deci meter =10$  $cm$, $1$  $cm =\dfrac1{10}$  $dm$


$745$  $cm =\dfrac1{10} \times 745$  $dm$

                $=\dfrac{745}{10}   $  $dm$

                 $= 74.5$  $deci meter$  $= 74$  $dm$  $5 $ $cm$

So, Option $D$ is correct

Multiple choice maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

Convert $328\ mm\ 45\ cm$ into meters.

  1. $3.73\ m$
  2. $33.25\ m$
  3. $77.8\ m$
  4. $0.778\ m$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We know that $1$  $centimeter =10$  $mm$, $1$  $meter =100$  $cm$ and $1$  $meter =1000$  $mm$


or   $1$  $mm =\dfrac{1}{10}$  $cm$ or   $1$  $mm =\dfrac{1}{1000}$  $m$

To convert  $328$ $mm$ $45$  $cm$  to  $meters$

$328\ mm$ $45$  $cm$ $ = 328\ mm + 45cm$

$328$ $mm =\dfrac{1}{1000} \times 328$  $m$ $= 0.328$  $m$

$45$ $cm =\dfrac{1}{100} \times 4 5$  $m$ $= 0.45$  $m$


$328\ mm$ $45$  $cm$ $ = 328\ mm + 45\ cm  =   (0.328+0.45)  m$

                              $ = 0.778$  $m$