Mensuration Test

Result

Mensuration Test - 28

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

Calculate the area of a trapezium whose parallel sides are $22$ and $10$ m, and a height of $15$ m.

A
$240$ $m^{2}$

B
$230$ $m^{2}$

C
$220$ $m^{2}$

D
$210$ $m^{2}$

Solution

Area of a trapezoid = $\dfrac{b_{1}+ b_{2}}{2}\times h$
= $\dfrac{12 + 10}{2}\times 15$
= $\dfrac{32}{2}\times 15$
= $240$ $m^{2}$
Question 2
1 / -0

A company packages its juice in a tetra pack shown below. How much quantity of juice does it contain.

A
$\displaystyle 140{ cm }^{ 3 }$

B
$\displaystyle 160{ cm }^{ 3 }$

C
$\displaystyle 16{ cm }^{ 3 }$

D
$\displaystyle 136cm^3$

Solution

Quantity of juice in the package $=$ Volume of cuboidal package
$=$ $l\times b\times h$
$=$ $4\times 4\times 10$
$=$ $160$ ${ cm }^{ 3 }$
Question 3
1 / -0

Edward bought a container of ceralac in the shape of cylinder. If the container has a radius $10 m$ and a surface area is $\displaystyle 340\pi$ . What is its height?

A
$5 m$

B
$6m$

C
$7m$

D
$8m$

Solution

Surface area of cylinder is $A=2πr(r+h)$

Here the cylindrical container has surface area $A=340π$ m $^2$ and radius $r=10$ m.

Thus,

$A=2πr(r+h)\\ \Rightarrow 340π=2π\times 10(10+h)\\ \Rightarrow 340π=20π(10+h)\\ \Rightarrow 340π=200π+20πh\\ \Rightarrow 20πh=340π-200π\\ \Rightarrow 20πh=140π\\ \Rightarrow h=\dfrac { 140π }{ 20π } =7$

Hence, the height of the cylindrical container is $7m$ .
Question 4
1 / -0

The area of the trapezium is $100\ { m }^{ 2 }$ and height is $10\ m.$ Find the length of one parallel side if the length of the other parallel side is $5\ m.$

A
$5\ m$

B
$10\ m$

C
$15\ m$

D
$20\ m$

Solution

Consider that $A$ is the area of the trapezium, $a, b$ are the length of the parallel sides, and $h$ is the height of the trapezium.

Given:
$A=100\ m^2$
$h=10\ m$
$a=5\ m$

So,
$\begin{aligned}{}A &= \frac{1}{2} \times \left( {a + b} \right) \times h\\100 &= \frac{1}{2} \times \left( {5 + b} \right) \times 10\\20 &= 5 + b\\b &= 15\ m\end{aligned}$

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

Fill in the blank:
____________ is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid.

A
Mass

B
Volume

C
Capacity

D
Density

Solution

Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid.
Question 6
1 / -0

A swimming pool is 100 m long and 15 m wide its deep and 24 m height respectively. Find the capacity of the pool.

A
36,000 m

B
36,000 $m^3$

C
36,000 $m^2$

D
36,000 $cm$

Solution

Volume of the pool = $l \times b \times h$
= $100 \times 15 \times 24$
= $36000 m^3$
Question 7
1 / -0

A brick whose length, breadth and height are $5m, 6m$ , and $7m$ respectively. Find the surface area of the brick.

A
$214\ m^2$

B
$202\ m^2$

C
$201\ m^2$

D
$210\ m^2$

Solution

Surface area of the cuboid having length, breadth and height as $l, b$ and $h$ respectively is given as $2 (lb + bh + hl)$

Brick has the shape of cuboid. Let $S$ be the require surface area.

$S=2 (5 \times 6 + 6 \times 7 + 7 \times 5)$

$2 (30 + 42 + 35)$

$214 m^2$
Question 8
1 / -0

Fill in the blank: The volume of solid objects is measured in _____ units.

A
Cubic

B
Square

C
Meter

D
Liter

Solution

The volume of solid objects is measured in cubic units.
Question 9
1 / -0

Find the surface area of a cylinder with the following dimension:
Height $= 10$ ft.
Radius $= 2$ ft.

A
$\displaystyle 82\pi { ft }^{ 2 }$

B
$\displaystyle 78\pi { ft }^{ 2 }$

C
$\displaystyle 48\pi { ft }^{ 2 }$

D
$\displaystyle 81\pi { ft }^{ 2 }$

Solution

Surface area of cylinder is $A=2πr(r+h)$

Here, radius is $r=2$ ft and the height is $h=10$ ft.

Thus,

$A=2π\times 2(2+10)=2π\times 2\times 12=48π$

Hence, the surface area of the cylinder is $48π$ ft $^2$ .
Question 10
1 / -0

If lateral surface area of a cylinder of height 10 cm is 100 cm $^{ 2 }$ , find radius of its base.

A
$\displaystyle 5\pi$

B
$\displaystyle \frac {5}{\pi}$

C
$\displaystyle 6\pi$

D
$\displaystyle \frac { \pi }{ 5 }$

Solution

Given that, the lateral surface area of a cylinder of height $10\ cm$ is $100\ cm^2$ .
To find out: The radius of the base of the cylinder.

We know that, lateral surface area of a cylinder is $\displaystyle 2\pi rh$
$\therefore \ 2\pi rh=100\\$
$\Rightarrow 2\pi r (10)=100\\$
$\Rightarrow 20\pi r =100\\$
$\Rightarrow r =\dfrac{100}{20\pi}\\$
$\therefore \ \displaystyle r=\dfrac { 5 }{ \pi }$

Hence, the radius of the base of the given cylinder is $\dfrac { 5 }{ \pi }$ .

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Mensuration Test - 28

Result

Mensuration Test - 28

Score

-

Rank

-

SHARING IS CARING

Question 1

240240240 m2m^{2}m2

230230230 m2m^{2}m2

220220220 m2m^{2}m2

210210210 m2m^{2}m2

Solution

Question 2

140cm3\displaystyle 140{ cm }^{ 3 }140cm3

160cm3\displaystyle 160{ cm }^{ 3 }160cm3

16cm3\displaystyle 16{ cm }^{ 3 }16cm3

136cm3\displaystyle 136cm^3136cm3

Solution

Question 3

5m5 m5m

6m6m6m

7m7m7m

8m8m8m

Solution

Question 4

5 m5\ m5 m

10 m10\ m10 m

15 m15\ m15 m

20 m20\ m20 m

Solution

Question 5

Mass

Volume

Capacity

Density

Solution

Question 6

36,000 m

36,000 m3m^3m3

36,000 m2m^2m2

36,000 cmcmcm

Solution

Question 7

214 m2214\ m^2214 m2

202 m2202\ m^2202 m2

201 m2201\ m^2201 m2

210 m2210\ m^2210 m2

Solution

Question 8

Cubic

Square

Meter

Liter

Solution

Question 9

82πft2\displaystyle 82\pi { ft }^{ 2 }82πft2

78πft2\displaystyle 78\pi { ft }^{ 2 }78πft2

48πft2\displaystyle 48\pi { ft }^{ 2 }48πft2

81πft2\displaystyle 81\pi { ft }^{ 2 }81πft2

Solution

Question 10

5π\displaystyle 5\pi 5π

5π\displaystyle \frac {5}{\pi}π5​

6π\displaystyle 6\pi 6π

π5\displaystyle \frac { \pi }{ 5 } 5π​

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.

$240$ $m^{2}$

$230$ $m^{2}$

$220$ $m^{2}$

$210$ $m^{2}$

$\displaystyle 140{ cm }^{ 3 }$

$\displaystyle 160{ cm }^{ 3 }$

$\displaystyle 16{ cm }^{ 3 }$

$\displaystyle 136cm^3$

$5 m$

$6m$

$7m$

$8m$

$5\ m$

$10\ m$

$15\ m$

$20\ m$

36,000 $m^3$

36,000 $m^2$

36,000 $cm$

$214\ m^2$

$202\ m^2$

$201\ m^2$

$210\ m^2$

$\displaystyle 82\pi { ft }^{ 2 }$

$\displaystyle 78\pi { ft }^{ 2 }$

$\displaystyle 48\pi { ft }^{ 2 }$

$\displaystyle 81\pi { ft }^{ 2 }$

$\displaystyle 5\pi$

$\displaystyle \frac {5}{\pi}$

$\displaystyle 6\pi$

$\displaystyle \frac { \pi }{ 5 }$