Tag: length, mass and capacity

Questions Related to length, mass and capacity

Express the following in kilograms:
$190g$=$0.19kg$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:
To convert grams into kilograms, we divide by 1,000. A kilogram is one thousand grams.
So 190 grams = 190/1000 kilograms
190grams=0.19 kilograms.
So option A is the correct answer.

What is $873878\ mg$ into grams ?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $873.878\ g$

  2. $87.3878\ g$

  3. $8738.78\ g$

  4. $87387.8\ g$

Show answer
Correct Option: A
Explanation:

$1\ \ g=1000\ \ mg$

$1 \ \ mg=\dfrac{1}{1000} \ \ g$
$\Rightarrow 1\ \ mg=.001\ \ g$

$873878\ \ mg=873878\times.001=873.878\ \ g$

So option $A$ is correct.

Convert $0.05$ kg into grams.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.5\ g$

  2. $5\ g$

  3. $50\ g$

  4. $500\ g$

Show answer
Correct Option: C
Explanation:

$1\ \ kg=1000\ \ g$

$0.05\ \ kg =0.05\times1000=50\ \ g$
So option $B$ is correct.

What is $1000$ milligrams in kg ?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.1$ kg

  2. $0.01$ kg

  3. $0.001$ kg

  4. $0.0001$ kg

Show answer
Correct Option: C
Explanation:

We know $1 $ g $=1000$ mg

$\Rightarrow 1 $ mg $=0.001 $ g
$\Rightarrow 1000$ mg $ =0.0001\times1000=1 $g
$1 $ kg $=1000 $ g
$\Rightarrow 1 $ g $=0.001 $ kg
Option C is correct.

Convert $0.04892$ kg into milligrams.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $48.92$ mg

  2. $48920$ mg

  3. $489.2$ mg

  4. $489200$ mg

Show answer
Correct Option: B
Explanation:

$1\ \ kg=1000\ \ grams$

$1\ \ gram =1000\ \ mg$
$\Rightarrow 1\ \ kg=100000\ \ mg$
$.04892\ \ kg=.04892\times100000=48920\ \ mg$
Option $B$ is correct.

$90000 \ \text{mg}=$ _____ $\text{kg}$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.9$

  2. $0.09$

  3. $9$

  4. $90$

Show answer
Correct Option: B
Explanation:

$1 \ \text{ g} =1000\  \text{mg}$

$\Rightarrow 1 \  \text{mg}=.001 \ \text{ g}$
$\Rightarrow 90000 \ \text{mg}  =.0001\times90000=90 \ \text{ g}$
$1 \ \text{kg}=1000 \ \text{ g}$
$\Rightarrow 1 \ \text{g}=.001 \ \text{ kg}$
$\Rightarrow 90 \ \text{g} =90\times.001=.09 \ \text{ kg}$
Option B is correct

$89744\ mg=$ ______ $g$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $89744$

  2. $8974.4$

  3. $897.44$

  4. $89.744$

Show answer
Correct Option: D
Explanation:

$1\ \ g=1000\ \ mg$

$\Rightarrow 1\ \ mg=.001\ \ g$
$89744\ \ mg=89744\times.001=89.744 \ \ g$
So option $D$ is correct.

$5.8377\ kg=$ _______ $g$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $5837.7\ g$

  2. $583.77\ g$

  3. $58.377\ g$

  4. $58377\ g$

Show answer
Correct Option: A
Explanation:

$1\ \ kg=1000\ \ g$

$5.8377\ \ kg=5.8377\times1000=5837.7 \ \ g$
So option $A$ is correct.

Medicine is packed in boxes, each weighing $4$ kg $500$ g. How many such boxes can be loaded in a van which cannot carry beyond $800$ kg?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $177$

  2. $189$

  3. $175$

  4. $165$

Show answer
Correct Option: A
Explanation:
Weight of each box $ kg $500$ g $= 4.5$ kg
Capacity of van $= 800$ kg
$\therefore$ Number of boxes, the van can carry $=$ $\dfrac {800} {4.5}$ $= 177.77 = 177 $ {approax}

The weight of a $13$ m long iron rod is $23.4$ kg. The weight of $6$ m long of such rod will be _______.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $7.2$ kg

  2. $12.4$ kg

  3. $10.8$ kg

  4. $18$ kg

Show answer
Correct Option: C
Explanation:
Given that $13$ m weighs $23.4$ kg
So, $1$ m  will weigh $\dfrac {23.4}{13}$ kg
So, $6$ m weighs $\dfrac {23.4}{13}\times 6$ kg $=10.8$ kg
Option C is correct.