Surface Areas and Volumes Test

Result

Surface Areas and Volumes Test - 45

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which of the following is a unit of Volume?

A
Meters per second

B
Cubic millimeters

C
Litres

D
Both B and C

Solution

Volume can be cubic millimeters as well as litres
$$1lt=1000000$$ cubic millimeters
Both B anc C is correct
Question 2
1 / -0

The cub (cubical) volume of a hemisphere, having diameter $$1\text{ cm}$$, will be ............. $$\text{ cm }^{ 3 }$$

A
$$\cfrac { \pi }{ 6 } $$

B
$$\cfrac { \pi }{ 12 } $$

C
$$\cfrac {2 \pi }{ 3 } $$

D
$$\cfrac {4 \pi }{ 3 } $$

Solution

Here diameter of the hemisphere is given as $$1\ cm$$
$$\therefore$$ $$r=\cfrac{1}{2}$$
Volume of the hemisphere $$=\cfrac { 2 }{ 3 } \pi { r }^{ 3 }=\cfrac { 2 }{ 3 } \times \pi \times \cfrac { 1 }{ 2 } \times \cfrac { 1 }{ 2 } \times \cfrac { 1 }{ 2 } =\cfrac { \pi }{ 12 } $$
Thus, the answer is $$\dfrac{\pi}{12}$$.
Question 3
1 / -0

How many $$\text{m}^3$$ are $$7,500$$ litres?

A
$$750 \ \text{m}^3$$

B
$$75 \ \text{m^}3$$

C
$$7.5 \ \text{m}^3$$

D
$$100 \ \text{m}^3$$

Solution

We know $$1 \ \text{m}^3=1000$$ L
$$1$$ L$$=\dfrac{1}{1000} \ \text{m}^3$$
$$7500$$ L $$=\dfrac{7500}{1000}=7.5 \ \text{m}^3$$
Option C is correct.
Question 4
1 / -0

A water tank holds $$50,000,000$$ liters of water. How many cubic meters is that?

A
$$50,000,000\ m^3$$

B
$$

5,000,000\ m^3$$

C
$$500,000\ m^3$$

D
$$50,000\ m^3$$

Solution

$$1\ m^3=1000\ L$$

$$1\ L=\dfrac{1}{1000}\ m^3$$

$$50000000\ L=\dfrac{50000000}{1000}\ m^3$$

$$=50000\ m^3$$

Hence, option $$D$$ is correct.
Question 5
1 / -0

How many liters is $$50 m^3$$?

A
$$50$$

B
$$500$$

C
$$50000$$

D
$$5$$

Solution

$$1m^3=1000 L$$
$$50m^3=50000L$$
Question 6
1 / -0

If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio

A
$$1:8$$

B
$$2:1$$

C
$$1:2$$

D
$$8:1$$

Solution

Let the radius of sphere be $$r$$ and radius of other sphere be $$\dfrac{r}{2}.$$

We know that the volume of the sphere
$$=\dfrac{4}{3}\pi r^3$$

Therefore,
$$=\dfrac{\dfrac{4}{3}\pi \left(\dfrac{r}{2}\right)^3}{\dfrac{4}{3}\pi r^3}$$

$$=\dfrac{1}{8}\times \dfrac{\dfrac{4}{3}\pi r^3}{\dfrac{4}{3}\pi r^3}$$

$$=\dfrac{1}{8}\times 1$$

$$=\dfrac{1}{8}$$

Hence, the ratio is $$1:8$$
Question 7
1 / -0

How many $$cm^3$$ is 1.2litres?

A
$$

1,200 cm^3$$

B
$$1,200,00 cm^3$$

C
$$120 cm^3$$

D
$$12,000 cm^3$$

Solution

$$1cm^3=\dfrac{1}{1000}=0.001L$$
$$1L=1000cm^3$$
$$1.2L=1.2 \times 1000=1200cm^3$$
Question 8
1 / -0

A bottle of drink holds $$250$$ $$\text{cm}^3$$. How many litres will $$24$$ bottles hold?

A
$$600$$ litres

B
$$60$$ litress

C
$$

6$$ litres

D
$$6000$$ litres

Solution

$$1 \ \text{cm}^3=0.001 \ \text{L}$$
$$250 \ \text{cm}^3=250 \times 0.001=0.25 \ \text{L}$$
So, $$1$$ bottle will hold $$0.25 \ \text{L}$$
Therefore, $$24 \times 0.25=6 \ \text{L}$$
Question 9
1 / -0

What is the volume in cubic centimetres of a $$0.6$$ L bottle of shampoo?

A
$$6000 cm^3$$

B
$$60 cm^3$$

C
$$400 cm^3$$

D
$$600 cm^3$$

Solution

$$1L=1000cm^3$$
$$0.6L=0.6 \times 1000=600cm^3$$
Question 10
1 / -0

How many spherical bullets can be made out of a cube of lead whose edge measures $$22$$cm, each bullet being $$2$$cm in diameter?

A
$$1347$$

B
$$2541$$

C
$$2662$$

D
$$5324$$

Solution

Volume of cube, $$V=(side)^3=(22^3 )cm ^3$$
Volume of one spherical bullets, $$v=\dfrac{4}{3}\pi r^3=\dfrac{4}{3}\pi (1^3)cm^3$$
Number of spherical bullets$$=\dfrac{V}{v}=\dfrac{22^3\times 3}{4\times \pi \times1 ^3}=2541$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Surface Areas and Volumes Test - 45

Result

Surface Areas and Volumes Test - 45

Score

-

Rank

-

SHARING IS CARING

Question 1

Meters per second

Cubic millimeters

Litres

Both B and C

Solution

Question 2

$$\cfrac { \pi }{ 6 } $$

$$\cfrac { \pi }{ 12 } $$

$$\cfrac {2 \pi }{ 3 } $$

$$\cfrac {4 \pi }{ 3 } $$

Solution

Question 3

$$750 \ \text{m}^3$$

$$75 \ \text{m^}3$$

$$7.5 \ \text{m}^3$$

$$100 \ \text{m}^3$$

Solution

Question 4

$$50,000,000\ m^3$$

$$5,000,000\ m^3$$

$$500,000\ m^3$$

$$50,000\ m^3$$

Solution

Question 5

$$50$$

$$500$$

$$50000$$

$$5$$

Solution

Question 6

$$1:8$$

$$2:1$$

$$1:2$$

$$8:1$$

Solution

Question 7

$$1,200 cm^3$$

$$1,200,00 cm^3$$

$$120 cm^3$$

$$12,000 cm^3$$

Solution

Question 8

$$600$$ litres

$$60$$ litress

$$6$$ litres

$$6000$$ litres

Solution

Question 9

$$6000 cm^3$$

$$60 cm^3$$

$$400 cm^3$$

$$600 cm^3$$

Solution

Question 10

$$1347$$

$$2541$$

$$2662$$

$$5324$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

$$

5,000,000\ m^3$$

$$

1,200 cm^3$$

$$

6$$ litres