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3A1 > Chapter 3 > Flashcards

Chapter 3 Flashcards

1
Q

An octagon is machined from a circle having a diameter of 8 cm. How much area needs to be removed from the circle?

03_09

Select one:

A.
5.012 cm²

B.
6.147 cm²

C.
6.862 cm²

D.
7.147 cm²

E.
8.862 cm²

A

A.
5.012 cm²

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2
Q

A rhombus, as shown below, has diagonals of 18 cm and 24 cm. Calculate its area.

03_12

Select one:

A.
108 cm²

B.
216 cm²

C.
280 cm²

D.
300 cm²

E.
432 cm²

A

B.
216 cm²

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3
Q

In the following plane figure, a = 5 cm, b= 2 cm, c= 3 cm, d = 4 cm, and e = 2 cm. Calculate the area of this figure.

03_06

Select one:

A.
81.63 cm²

B.
77.14 cm²

C.
94.25 cm²

D.
96.25 cm²

E.
102.25 cm²

A

B.
77.14 cm²

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4
Q

A horizontal boiler shell is 180 cm in diameter and 5 m long. It is filled with water to a depth of 160 cm. What is the area of the segment of the end plate below the water line?

03_17

Select one:

A.
1.87 m²

B.
1.98 m²

C.
2.17 m²

D.
2.24 m²

E.
2.39 m²

A

E.
2.39 m²

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5
Q

A triangle in which all three sides (a, b, c) are different lengths, is called a/an ___________ triangle.:

Select one:

A.
Isosceles

B.
Scalene

C.
Equilateral

D.
Unilateral

E.
Right

A

B.
Scalene

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6
Q

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3rd Class (Textbook)
Third Class Part A1
A1.03 - Chapter Review - Mensuration
A1.03 - Chapter Review - Mensuration: Attempt review
Started on 5 May. 2022, 7:33 PM
State Finished
Completed on 5 May. 2022, 8:03 PM
Time taken 30 mins 1 sec
Score 6.00 out of 10.00 (60%)
Question 1
Incorrect
Mark 0.00 out of 1.00
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Question text
An octagon is machined from a circle having a diameter of 8 cm. How much area needs to be removed from the circle?

03_09

Select one:

A.
5.012 cm²

B.
6.147 cm²

C.
6.862 cm²

D.
7.147 cm²

E.
8.862 cm²
Feedback
The correct answer is: 5.012 cm²
Question 2
Correct
Mark 1.00 out of 1.00
Not flaggedFlag question
Question text
A rhombus, as shown below, has diagonals of 18 cm and 24 cm. Calculate its area.

03_12

Select one:

A.
108 cm²

B.
216 cm²

C.
280 cm²

D.
300 cm²

E.
432 cm²
Feedback
The correct answer is: 216 cm²
Question 3
Incorrect
Mark 0.00 out of 1.00
Not flaggedFlag question
Question text
In the following plane figure, a = 5 cm, b= 2 cm, c= 3 cm, d = 4 cm, and e = 2 cm. Calculate the area of this figure.

03_06

Select one:

A.
81.63 cm²

B.
77.14 cm²

C.
94.25 cm²

D.
96.25 cm²

E.
102.25 cm²
Feedback
The correct answer is: 77.14 cm²
Question 4
Correct
Mark 1.00 out of 1.00
Not flaggedFlag question
Question text
A horizontal boiler shell is 180 cm in diameter and 5 m long. It is filled with water to a depth of 160 cm. What is the area of the segment of the end plate below the water line?

03_17

Select one:

A.
1.87 m²

B.
1.98 m²

C.
2.17 m²

D.
2.24 m²

E.
2.39 m²
Feedback
The correct answer is: 2.39 m²
Question 5
Correct
Mark 1.00 out of 1.00
Not flaggedFlag question
Question text
A triangle in which all three sides (a, b, c) are different lengths, is called a/an ___________ triangle.:

Select one:

A.
Isosceles

B.
Scalene

C.
Equilateral

D.
Unilateral

E.
Right
Feedback
The correct answer is: Scalene
Question 6
Correct
Mark 1.00 out of 1.00
Not flaggedFlag question
Question text
An isosceles triangle has an area of 121 m² and a base length of 13 m. What is the vertical height of this (isosceles) triangle?
Select one:

A.
9.23 m

B.
13.33 m

C.
15.78 m

D.
16.63 m

E.
18.62 m

A

E.
18.62 m

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7
Q

A trapezoid is a plane figure, which has four (4) sides, and:
Select one:

A.
All sides are parallel

B.
2 opposite sides are parallel but unequal in length

C.
2 opposite sides are parallel and only opposite angles are equal

D.
Opposite sides are parallel and equal, and opposite angles are equal

E.
None of the sides are parallel

A

B.
2 opposite sides are parallel but unequal in length

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8
Q

Calculate the number of 8 cm diameter tubes that can be attached to a circular tube sheet of a heat exchanger that is 1.0 m in diameter. Assume that 50% of the sheet area is used for spacing between the tubes.
Select one:

A.
72

B.
78

C.
88

D.
98

E.
156

A

B.
78

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9
Q

A right triangle has a vertical height of 7 m and a base of 4 m. Find the area.
Select one:

A.
28 m²

B.
17 m²

C.
14 m²

D.
11 m²

E.
10.5 m²

A

C.
14 m²

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10
Q

A trapezium has the following sides: a = 10.5 m, b = 4 m, c = 8 m, d = 5 m. The dashed diagonal line B = 10.7 m, and the heights of the two triangle are h1= 3.8 m and h2 =3.9 m. Find the area of trapezium.

03_02

Select one:

A.
32.972 m²

B.
41.195 m²

C.
47.315 m²

D.
47.714 m²

E.
56.195 m²

A

B.
41.195 m²

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11
Q

What is the maximum side length of a hexagonal metal bar that can be machined from a steel rod with a diameter of 10 cm?

03_15

Select one:

A.
2.480 cm

B.
4.318 cm

C.
5.00 cm

D.
5.496 cm

E.
10.991 cm

A

C.
5.00 cm

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12
Q

An octagon has sides 4 cm long. How much larger is its area than a circle with a radius which is also 4 cm long?
Select one:

A.
8.66 cm²

B.
18.01 cm²

C.
22.67 cm²

D.
27.01 cm²

E.
64.72 cm²

A

D.
27.01 cm²

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13
Q

In the following plane figure, a = 50 cm, b = 40 cm, c = 110 cm and d = 90 cm. Calculate the area of this figure.

03_03

Select one:

A.
7844.5 cm²

B.
8763.5 cm²

C.
8832.5 cm²

D.
9140.5 cm²

E.
10282.5 cm²

A

10282.5 cm²

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14
Q

A cylindrical tank with a vertical axis is 0.6 m in diameter. The oil level falls 20 cm in 17 days. Calculate the quantity of oil used per day in litres.
Select one:

A.
1.662 litres/day

B.
2.236 litres/day

C.
3.325 litres/day

D.
3.318 litres/day

E.
16.632 litres/day

A

C.
3.325 litres/day

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15
Q

A trapezoid has parallel sides of 5 m and 8 m, and a height of 4 m. Find the area.
Select one:

A.
17 m²

B.
21 m²

C.
26 m²

D.
30 m²

E.
36 m²

A

C.
26 m²

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16
Q

Given that one side of a triangle is equal to 8 m, the base is equal to b m and the height is 4 m, the area of this triangle is equal to:
Select one:

A.
16 m²

B.
32 m²

C.
8b m²

D.
4b m²

E.
2b m²

A

E.
2b m²

17
Q

The major axis of an ellipse is 38 cm long and the area of the ellipse is 418 cm². What is the length of the minor axis?
Select one:

A.
7 cm

B.
14 cm

C.
16 cm

D.
28 cm

E.
32 cm

A

B.
14 cm

18
Q

A rhomboid is a plane figure that has four (4) sides, with:
Select one:

A.
All sides parallel

B.
Opposite sides parallel and all angles equal

C.
Opposite sides parallel and opposite angles equal

D.
Opposite sides parallel and equal and opposite angles equal

E.
Two opposite sides parallel, the other two sides not

A

C.
Opposite sides parallel and opposite angles equal

19
Q

Each circular half of the figure-8 race track shown here has an outside radius of 145 m. Calculate the minimum size, in hectares, of the rectangular lot that can contain this race track.

03_08

Select one:

A.
16.82 ha

B.
18.1260 ha

C.
19.8397 ha

D.
116.0698 ha

E.
119.0678 ha

A

A.
16.82 ha

20
Q

A sector has sides of 5 m and an angle of 36°. Calculate the area of the sector.

03_22

Select one:

A.
7.184 m²

B.
7.854 m²

C.
8.112 m²

D.
8.334 m²

E.
9.122 m²

A

B.
7.854 m²

3A1 (4 decks)

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