9th Standard Syllabus & Materials
9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கற்கண்டு (இலக்கணம்) - தொடர் இலக்கணம், ஆகுபெயர் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -விரிவானம் (துணைப்பாடம்) - தாய்மைக்கு வறட்சி இல்லை! Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கவிதை பேழை (செய்யுள்) - மார்கழி பெருவிழா Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உயிருக்கு வேர்-இலக்கணம் - பகுபத உறுப்பிலக்கணம் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர் - இலக்கணம்-எழுத்து -அளபெடை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர்-துணைப்பாடம் - ஆறாம்திணை Important Questions And Answers Study Material - QB365 Set A
Published on: 24/09/2019
Term 3 Mensuration
Download Tamil Nadu 9th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
The volume of a cuboid is 440 cm3 and the area of its base is 88 cm2, find its height.
2.
A cuboid has total surface area of 40m2 and its lateral surface area is 26 m2, Find the area of its base.
3.
Find the area of a quadrilateral whose sides are PQ = 15 cm, QR = 8 cm, RS = 25 m.
4.
The dimensions of a water tank are 12 m × 10 m × 8 m . If it is filled with water up to the level of 5 m, how much more water would be needed to fill the tank completely?
5.
If the total surface area of a cube is 726 cm2, then find its volume.
6.
Find the volume of a cube each of whose side is
(i) 5 cm
(ii) 3.5 m
(iii) 21 cm
7.
The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes.
8.
A park is in the shape of a quadrilateral. The sides of the park are 15 m, 20 m, 26 m and 17 m and the angle between the first two sides is a right angle. Find the area of the park.
9.
Find the area of an equilateral triangle whose perimeter is 180 cm.
10.
The sides of the triangular ground are 22 m, 120 m and 122 m. Find the area and cost of levelling the ground at the rate of Rs. 20 per m2.
1.
I \(\times\) b \(\times\) h = 440 cm3
h = \(\frac { 440 }{ 88 } \) = 5 cm
2.
Area of its base = \(\frac { TSA-LSA }{ 2 } \)
= \(\frac { 40-26 }{ 2 } \) m2
= 7 m2
3.
PR =\(\sqrt { 225+64 } =\sqrt { 289 } \) = 17 cm
s = \(\frac { 15+17+18 }{ 2 } \) = 20 cm
Area of Δ PQR = \(\\ \sqrt { 20\times 5\times 12\times 3 } =\sqrt { 5\times 4\times 5\times 4\times 3\times 3 } \)=60
ΔPRS
Area = \(\sqrt { 27(27-17)(27-25)(27-12) } =\sqrt { 27\times 10\times 2\times 15 } \)
=\(\sqrt { 3\times 3\times 3\times 5\times 2\times 2\times 5\times 3 } \)=9 x 5 x 2 =90
Total area = 90 + 60 =150 cm2.
4.
The dimensions of a water tank
l = 12 m b = 10 m h= 8 m
V = l \(\times\) b \(\times\) h = 12 \(\times\) 10 \(\times\) 8 = 960 m3
The volume of water to be filled to the height of 3m.
V = 12 \(\times\) 10 \(\times\) 3
= 360 m3 = 360 \(\times\) 1000 = 360000 litres.
5.
TSA of a cube 6a2 = 726
a2 = 121
a = 11 cm
Its volume = a3 = 11 \(\times\) 11 \(\times\) 11 cm3 = 1331 cm3.
6.
(i) side of a cube (a) = 5 cm
Volume of a cube V = a3 = 5 \(\times\) 5 \(\times\) 5 = 125 cm3
a = 3.5 m
V = a3 = 3.5 \(\times\) 3.5 \(\times\) 3.5 m3 = 42.875 m3
a = 21 cm
V = a3 = 21 \(\times\) 21 \(\times\) 21 cm3 = 9261 cm3.
7.
Dimensions of a match box = 6 cm \(\times\) 3.5 cm \(\times\) 2.5 cm
V = (6 \(\times\) 3.5 \(\times\) 2.5) cm3 = 52.5 cm3
Volume of 12 such boxes = 12 \(\times\) 52.5 cm3 = 630 cm3.
8.
Area of the quadrilateral
= Area of Δ ABD + Area of Δ BCD
Δ ABD is right angled triangle
∴ Area = \(\frac{1}{2}\)b h
=
In Δ ABD, BD2= AD2 + AB2
= 152+ 202= 225 + 400 = 625 m2
BD =\(\sqrt { 625 } \) = 25 m
∴ In ΔBCD, s = \(\frac { 25+25+17 }{ 2 } \)
= \(\frac { 68 }{ 2 } \) = 4
Area of Δ BCD = \(\sqrt { s(s-a)(s-b)(s-c) } \)
= \(\sqrt { 34(34-25)(34-26)(34-17) } \)
= \(\\ \sqrt { 34\times 9\times 8\times 17 } =\sqrt { 41616 } \)
∴ Area of the quadrilateral
= (150 + 204) m2 = 354 m2.
9.
Perimeter of an equilateral triangle = 180 cm
∴ one side (a) = \(\\ \frac { 180 }{ 3 } \) = 60 m.
Area of an equilateral triangle =\(\frac { \sqrt { 3 } }{ 4 } \) a2 sq.units
= 900\(\sqrt { 3 } \) m2
= 900 \(\times\) 1.732 = 1558.8 m2
10.
side: 22 m, 120 m, 122 m
Using Heron's formula
s = \(\frac { 22+120+122 }{ 2 } =\frac { 264 }{ 2 } \) = 12 m
Area = \(\sqrt { s(s-a)(s-b)(s-c) } \)
= \(\sqrt { 132(132-22)(132-120)(132-122) } \)
= \(\sqrt { 132\times 110\times 12\times 10 } \)
= \(\sqrt { 1742400 } =\sqrt { 11\times 11\times 3\times 3\times 2\times 2\times 2\times 2\times 10\times 10 } \)
= 11 \(\times\) 3 \(\times\) 2 \(\times\) 10 = 1320 m2
cost of levelling 1 m2 = Rs. 20
∴ cost oflevelling 1320 m2= 1320 \(\times\) 20 = Rs. 26400
9th Standard Syllabus & Materials
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Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
