Tag: region enclosed by a plane figure

Questions Related to region enclosed by a plane figure

The cubic unit is used to measure

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. speed

  2. area

  3. volume

  4. perimeter

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Correct Option: C
Explanation:

The cubic unit is used to measure volume.

State true or false.

The volume of the solid is measured in cubic units.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. True

  2. False

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Correct Option: A
Explanation:

All volumes are measured in cubic units, as it is the space occupied in all the three dimensions. So, when we talk about volume, actually we talk about length, width and height of the solid.

Area is the total surface covered by a closed figure is 

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. True

  2. False

  3. Anomalous

  4. None of these

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Correct Option: A
Explanation:

Yes the region covered by the enclosed figure or the total surface covered is the area of the particular shape.True.Option A

Area is measured in

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. units

  2. cubic units

  3. square units

  4. cm

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Correct Option: C
Explanation:

The measurement of area is done in square units.

Area is the length of the boundary of a closed figure.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. True

  2. False

  3. Either

  4. Neither

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Correct Option: B
Explanation:

Length of the boundary is the Perimeter not the area. The region enclosed inside the boundary is the area.
Therefore the statement is false.
Option B

Volume is measured in _____ units.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. square

  2. cubic

  3. unit

  4. cubic meter

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Correct Option: B
Explanation:

Volume is measured in cubic units.

Two pipes can fill a tank in $20$ and $24$ minutes respectively and a waste pipe can empty $3$ gallons per minute. All the three pipes working together can fill the tank in $15$ minutes. The capacity of the tank is :

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. $60\ gallons$

  2. $100\ gallons$

  3. $120\ gallons$

  4. $180\ gallons$

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Correct Option: C
Explanation:

According to given question,

 Two ppes can fill atank $=20\,and\ 24\,\min .$

A waste pipe can empty$=3\,gallon/\min .$

Three pipes working$=15\,\min .$


So, According to given question,

Work done by the waste pipe in 1 minute

$ =\dfrac{1}{15}-\left( \dfrac{1}{20}+\dfrac{1}{24} \right) $

$ =\dfrac{1}{15}-\dfrac{11}{120} $

$ =-\dfrac{1}{40} $


Note:- negative sign means emptying

Then,

Volume of $\dfrac{1}{40}\,part$ $=\,3\,gallons.$

Volume of whole$=3\times 40=120\,gallons.$


Hence, this is the answer.

______ is expressed in square units.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. Perimeter

  2. Area

  3. Square

  4. Rectangle

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Correct Option: B
Explanation:

The area of a flat, or plane figure is the number of unit squares that can be contained within it.

So, area is expressed in square units.
Hence, the answer is area.

The amount of surface enclosed by a closed plane figure is called its _____

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. area

  2. perimeter

  3. volume

  4. none

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Correct Option: A
Explanation:

The amount of surface enclosed by a closed plane figure is called its area.

Hence, the answer is area.

The length and breadth of a room are in the ratio of 3 : 2. Its height is equal to half of its length. If the cost of carpeting the floor at Rs. 4.00 per m$^2$ is Rs. 216, then the area offour walls (in m$^2$) is

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. 135

  2. 140

  3. 125

  4. 120

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Correct Option: A
Explanation:

Let the length and breadth be 2x and 3x respectively. Then, floor area $= 6x^2$ sq.m. 
Cost of flooring at the rate of Rs. 4.00 per $m^2 = $ Rs. 216
$\therefore 6x^2 \times 4 = 216$
or $x^2 = 9$
or $x = 3$
$\therefore $ Length = 3x = 9m
Breadth = 2x = 6m
and Height $= \displaystyle \frac{1}{2} \times$ Length = 4.5 m
$\therefore $ Area of four walls = 2(length $\times$ height + breadth $\times$ height)
$=2 [9 \times 4.5 + 6 \times 4.5] = 135 m^2$