Mensuration Test

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Mensuration Test - 31

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Weekly Quiz Competition

Question 1
1 / -0

A solid right circular cylinder has a radius of $$8\ cm$$ and a height of $$14 \ cm$$. Find its curved surface area.

A
$$704 \ {cm}^{2}$$

B
$$735 \ {cm}^{2}$$

C
$$74 \ {cm}^{2}$$

D
None of these

Solution

We have,
$$h=14\ cm, r=8\ cm$$

We know that the curved surface area of the cylinder is
$$=2\pi r h$$

Let $$S$$ be the required curved surface area
$$S=2\times \dfrac{22}{7}\times 14\times 8$$

$$=704\ cm^2$$

Hence, (A) is the correct option
Question 2
1 / -0

The curved surface area of a right circular cylinder of radius $$1\ cm$$ and height $$1\ cm$$ is equal to

A
$$\pi$$ $${cm}^{2}$$

B
$$2\pi$$ $${cm}^{2}$$

C
$$3\pi$$ $${cm}^{2}$$

D
$$2$$ $${cm}^{2}$$

Solution

We have,
$$h=1\ cm, r=1\ cm$$

We know that curved surface area of the cylinder
$$=2\pi r h$$

$$=2\pi \times 1 \times 1$$

$$=2\pi\ cm^2$$

Hence, this is the answer.
Question 3
1 / -0

The curved surface area of a right circular cylinder whose radius is $$a$$ units and height is $$b$$ units, is equal to

A
$$\pi {a}^{2}b$$ sq.cm

B
$$2\pi ab$$ sq.cm

C
$$2\pi $$ sq.cm

D
$$2$$ sq.cm

Solution

We have,
$$r=a\ units, h=b\ units$$

We know that the curved surface area
$$=2\pi r h$$

So,
$$=2\pi a b\ sq.\ units$$

Hence, this is the answer.
Question 4
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 5
1 / -0

How many litres of water does this fish tank will hold ?

A
$$2.4$$ L

B
$$24$$ L

C
$$4.8$$ L

D
$$100$$ L

Solution

Volume$$=l \times b \times h=24 \times 20 \times 50=24000 \ \text{cm}^3$$
$$1L = 1000 \ \text{cm}^3$$
So, $$24$$ L $$=24000 \ \text{cm}^3$$
Thus $$24$$ litres of water the fish tank will hold.
Question 6
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 7
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 8
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 9
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 10
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

$$1cm^3=\dfrac{1}{1000}=0.001L$$
$$1L=1000cm^3$$
$$1.2L=1.2 \times 1000=1200cm^3$$

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Mensuration Test - 31

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Mensuration Test - 31

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Question 1

$$704 \ {cm}^{2}$$

$$735 \ {cm}^{2}$$

$$74 \ {cm}^{2}$$

None of these

Solution

Question 2

$$\pi$$ $${cm}^{2}$$

$$2\pi$$ $${cm}^{2}$$

$$3\pi$$ $${cm}^{2}$$

$$2$$ $${cm}^{2}$$

Solution

Question 3

$$\pi {a}^{2}b$$ sq.cm

$$2\pi ab$$ sq.cm

$$2\pi $$ sq.cm

$$2$$ sq.cm

Solution

Question 4

$$600$$ litres

$$60$$ litress

$$6$$ litres

$$6000$$ litres

Solution

Question 5

$$2.4$$ L

$$24$$ L

$$4.8$$ L

$$100$$ L

Solution

Question 6

Meters per second

Cubic millimeters

Litres

Both B and C

Solution

Question 7

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

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

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

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

Solution

Question 8

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

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

$$500,000\ m^3$$

$$50,000\ m^3$$

Solution

Question 9

$$50$$

$$500$$

$$50000$$

$$5$$

Solution

Question 10

$$1,200 cm^3$$

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

$$120 cm^3$$

$$12,000 cm^3$$

Solution

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$$

6$$ litres

$$

5,000,000\ m^3$$

$$

1,200 cm^3$$