Mensuration Test

Result

Mensuration Test - 15

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

Volume of a cuboid with $$l = 10 cm, b = 12 cm, h = 8 cm$$ is

A
$$96$$ cubic cm

B
$$9.6$$ cubic cm

C
$$9600$$ cubic cm

D
$$960$$ cubic cm

Solution

$$\Rightarrow$$ $$l=10\,cm,\,b=12\,cm$$ and $$h=8\,cm$$ [ Given ]

$$\Rightarrow$$ Volume of a cuboid $$=l\times b\times h$$

$$=10cm\times 12cm\times 8cm$$

$$=960\,cm^3$$
Question 2
1 / -0

Find the volume of cuboid with length $$= 3a$$, brcadth $$= 7b$$ and height $$= c$$.

A
$$21a$$

B
$$21abc$$

C
$$21bc$$

D
$$21c$$

Solution

Volume of the cuboid = $$l \times b \times h$$ = $$3a\times 7b\times c$$
$$ = (3\times 7)\times a\times b\times c $$
$$= 21 abc$$
Question 3
1 / -0

What is the total surface area of a cuboid ?

A
$$2(lb + bh + hl)$$

B
$$(l \times b \times h)$$

C
$$(l \times b)$$

D
None of these

Solution

Let the length, breadth and height of the cuboid be $$l,\ b$$ and $$h$$ respectively.

The total surface area of a cuboid (TSA) is equal to the sum of the areas of its 6 rectangular faces.

TSA of cuboid $$=l\times b+b\times h+h\times l+l\times b+b\times h+h\times l$$

$$=2(lb + bh + hl)$$
Question 4
1 / -0

Which formula is used to calculate the curved surface area of a cylinder?

A
$$\displaystyle \pi { r }^{ 2 }$$

B
$$\displaystyle 2\pi rh$$

C
$$\displaystyle 2\pi { r }^{ 2 }$$

D
$$\displaystyle 2\pi r$$

Solution

Curved surface area of a cylinder is circumference of a base $\times$$ height.
Curved surface area of a cylinder $$=$$ $$\displaystyle 2\pi rh$$.
Question 5
1 / -0

Fill in the blanks:
Surface area of a cylinder = ............. x ........... + .......... .

A
2 $$\times$$ area of rectangle $$+$$ area of circle

B
2 $$\times$$ area of circle $$+$$ area of rectangle

C
2 $$\times$$ area of square $$+$$ area of rectangle

D
2 $$\times$$ area of rectangle $$+$$ area of rectangle

Solution

Cylinder is made up of $$2$$ circles and one rectangle as shown in the figure.
Length of the rectangle is the circumference of circle. Breadth will be height of cylinder.
Hence cylinder is the addition of two areas of circle and one rectangle.
So, option (b) is correct.
Question 6
1 / -0

Fill in the blanks :
Curved surface area of a cylinder = ____

A
Circumference of a base $$\times$$ height

B
Area of a circle $$\times$$ radius

C
Circumference of a base $$\times$$ radius

D
Area of a circle $$\times$$ height

Solution

The curved surface area of a cylinder is the circumference of a base $$\times$$ height.
Question 7
1 / -0

Which part in the cylinder is included for total surface area?

A
curved surface area

B
curved surface area and two circular bases

C
one circular bases

D
two circular bases

Solution

Total surface area = Curved surface area + Area of two circular bases.
Question 8
1 / -0

The formula of lateral surface area of cylinder is ________.

A
$$A = 2\pi r h$$

B
$$A = 2\pi r$$

C
$$A = \pi r^{2}$$

D
$$A = 2\pi r^{2}h$$

Solution

Lateral surface area and cylinder $$2\pi rh$$
$$\therefore $$ Part (A) is correct answer.
Question 9
1 / -0

In a trapezium whose parallel sides measure $$24\ cm$$ and $$15\ cm$$ and the distance between them is $$10\ cm$$. Then the area of trapezium is _________.

A
$$215\ cm^{2}$$

B
$$205\ cm^{2}$$

C
$$195\ cm^{2}$$

D
$$295\ cm^{2}$$

Solution

Area of trapezium is given by $$\dfrac{1}{2}\times\text{(sum of parallel sides)}\times\text{(height)}$$
$$\Rightarrow \dfrac{1}{2}\times (24+15)\times (10)=195\,cm^{2}$$
Question 10
1 / -0

The amount of three-dimensional space occupied by an object is called?

A
Area

B
Pressure

C
Volume

D
Mass

Solution

Volume is the quantity of three-dimensional space enclosed by a closed surface. For example: Cylinder, Cuboid etc