Mensuration Test

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Mensuration Test - 13

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Weekly Quiz Competition

Question 1
1 / -0

If the curved surface area of a cylinder is $$1760$$ sq.cm and its base radius is $$14$$ cm, then its height is:

A
$$10$$ cm

B
$$15$$ cm

C
$$20$$ cm

D
$$40$$ cm

Solution

Given, curved surface varea of cone $$=1760$$ sq.cm and radius $$=14$$ cm
Curved surface area of a cylinder of radius "$$R$$" and height "$$h$$" $$ = 2\pi Rh$$
Hence, curved surface area of the given cylinder $$ = 2\times \dfrac {22}{7} \times 14\times h = 1760 $$sq.cm
$$ \therefore h = 20 $$ cm
Question 2
1 / -0

Find the surface area of a cube whose edge is $$15\ cm$$

A
$$1350\ {cm}^{2}$$

B
$$1300\ {cm}^{2}$$

C
$$1050\ {cm}^{2}$$

D
$$1250\ {cm}^{2}$$

Solution

The edge of the cube$$=15cm$$ i.e., $$a=15cm$$
Surface area of the cube $$=6{a}^{2}=6\times {(15)}^{2}=1350{cm}^{2}$$
Question 3
1 / -0

If $$l = 150 cm, b = 1 m$$ and $$h = 2 m$$ then, the volume of the cuboid is

A
$$3,00,000$$ cu. m.

B
$$3,00,00,000$$ cu. cm.

C
$$30,00,000$$ cu. cm.

D
$$30,000$$ cu. m.

Solution

Volume of a cuboid with dimensions as $$l,\ b,\ and\ h=lbh$$
Converting all the given dimensions to centimeters.
Hence, volume of the given cuboid $$=150 \times 100 \times 200 =30,00,000$$ cu.cm
Question 4
1 / -0

The radius of the cylinder whose lateral surface area is $$704{cm}^{2}$$ and height $$8$$ cm is:

A
$$6$$ cm

B
$$4$$ cm

C
$$8$$ cm

D
$$14$$ cm

Solution

Curved surface area of a cylinder of radius "$$R$$" and height "$$h$$" $$ = 2\pi Rh$$
Hence, Curved surface area of the given cylinder $$ = 2\times \dfrac {22}{7} \times r \times 8 = 704 $$
$$ \therefore r = 14 $$ cm
Radius of the base of the cylinder is $$ 14 $$ cm
Question 5
1 / -0

The volume of a solid is the measurement of the portion of the space occupied by it.
State True or False.

A
True

B
False

C
Data Insufficient

D
None of the above

Solution

The volume of a solid is defined as the space occupied by the solid shape in 3-dimensional region.

For example: Let us say that there is a glass of water; The amount of water the glass can hold is called volume of the glass.
Question 6
1 / -0

The total surface area of a solid right cylinder of radius $$r$$ and height $$h$$ is $$2\pi r(h+r)$$

A
True

B
False

C
Either

D
Neither

Solution

The curved surface area for a cylinder is $$2(\pi)rh$$
Total surface area = curved surface area +area of the two circles$$= 2(\pi)rh+2(\pi)r^2$$
$$=2(\pi)r(r+h)$$
Question 7
1 / -0

The surface area of a cube of side is $$27\ \text{cm}$$ is:

A
$$2916{\ \mathrm{cm}}^{2}$$

B
$$729{\ \mathrm{cm}}^{2}$$

C
$$4374{\ \mathrm{cm}}^{2}$$

D
$$19683{\ \mathrm{cm}}^{2}$$

Solution

Surface area of a cube of side $$a$$ is given by, $$S=6\ a^2$$
The side of cube is given , $$a=27\ \mathrm{cm}$$
Total surface area of given cube of side $$a = 6{a}^{2}=6\times 27^2\ \mathrm{cm}^2 $$
$$= 4374\ \mathrm{cm}^{2} $$
Question 8
1 / -0

Volume of a cuboid whose $$l=3.5$$ m, $$b =2.5$$ m and $$h =1.5$$ m is

A
$$13.12$$ cu m

B
$$13.215$$ cu m

C
$$13.125$$ cu m

D
$$13.521$$ cu m

Solution

Since, volume of cuboid $$=$$ length $$\times$$ breadth $$\times$$ height

Here, length $$=$$ $$3.5$$ m, breadth $$=$$ $$2.5$$ m and height $$=$$ $$1.5$$ m

$$\therefore$$ Volume of cuboid $$=$$ $$3.5\times 2.5\times 1.5 = 13.125 m^3 $$
Question 9
1 / -0

$$l \times b \times h$$ is formula of---

A
Area of cube

B
Area of cuboid

C
Volume of a cuboid

D
None of these

Solution

Correct answer is C.
Question 10
1 / -0

A reservoir is 3 m long, 2 m wide and 1 deep. Its capacity in litres is

A
8000 litres

B
10000 litres

C
6500 litres

D
6000 litres

Solution

Volume of the reservoir = l x b x h=3 x 2 x 1=6 cu m
$$\displaystyle \left ( \because 1 cu\, m = 1000 litre \right )$$
($$\displaystyle \because $$ Capacity of the reservoir =6 x 1000 =6000 litre.

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Re-Attempt Weekly Quiz Competition

Mensuration Test - 13

Result

Mensuration Test - 13

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SHARING IS CARING

Question 1

$$10$$ cm

$$15$$ cm

$$20$$ cm

$$40$$ cm

Solution

Question 2

$$1350\ {cm}^{2}$$

$$1300\ {cm}^{2}$$

$$1050\ {cm}^{2}$$

$$1250\ {cm}^{2}$$

Solution

Question 3

$$3,00,000$$ cu. m.

$$3,00,00,000$$ cu. cm.

$$30,00,000$$ cu. cm.

$$30,000$$ cu. m.

Solution

Question 4

$$6$$ cm

$$4$$ cm

$$8$$ cm

$$14$$ cm

Solution

Question 5

True

False

Data Insufficient

None of the above

Solution

Question 6

True

False

Either

Neither

Solution

Question 7

$$2916{\ \mathrm{cm}}^{2}$$

$$729{\ \mathrm{cm}}^{2}$$

$$4374{\ \mathrm{cm}}^{2}$$

$$19683{\ \mathrm{cm}}^{2}$$

Solution

Question 8

$$13.12$$ cu m

$$13.215$$ cu m

$$13.125$$ cu m

$$13.521$$ cu m

Solution

Question 9

Area of cube

Area of cuboid

Volume of a cuboid

None of these

Solution

Question 10

8000 litres

10000 litres

6500 litres

6000 litres

Solution

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