Practice the AP 8th Class Maths Bits with Answers Chapter 14 Surface Areas and Volume (Cube-Cuboid) on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 8th Class Maths Bits 14th Lesson Surface Areas and Volume (Cube-Cuboid) with Answers

Question 1.
L.S.A. of a cuboid is
A) 2h(l + b)
B) 2(l + b)
C) 2(lb + bh + lh)
D) 4a2
A) 2h(l + b)

Question 2.
T.S.A. of a cube is
A) 4a2
B) 6a2
C) 2(lb + bh + lh)
D) 2h(l + b)
B) 6a2

Question 3.
The T.S.A. of a cuboid of measures 20 cm × 10 cm × 15 cm is (sq.cm)
A) 130
B) 13,000
C) 1300
D) None
C) 1300

Question 4.
Net form of a cube is

D) None

Question 5.
If the side of a cube is doubled then the change in its T.S.A. is
A) 1 time
B) 2 times
C) 3 times
D) 4 times
D) 4 times

Question 6.
If s = 6 cm then T.S.A. of a cube (sq.cm) is
A) 216
B) 260
C) 460
D) None
A) 216

Question 7.
1 cu.cm. =
A) 10 mm3
B) 100 mm3
C) 1000 mm3
D) None
C) 1000 mm3

Question 8.
Volume of a cuboid (V) = ………………
A) $$\frac{\mathrm{lb}}{\mathrm{h}}$$
B) lbh
C) s3
D) $$\frac{\mathrm{l} \mathrm{h}}{\mathrm{b}}$$
B) lbh

Question 9.
The volume of a water tank of measuring 1.4 m × 1 m × 0.7 m is (in Lts)
A) 98
B) 9.8
C) 980
D) 9800
C) 980

Question 10.
Volume of a cube of side ‘s’ is ……………….
A) $$\frac{3 a}{2}$$
B) $$\frac{a}{3}$$
C) 3a
D) a3
D) a3

Question 11.
1 cm3 = …………….. mm.
A) 1
B) 2
C) 3
D) 7
A) 1

Question 12.
1 m3 = ………………. kilo liter
A) 6
B) 4
C) 1
D) 10
C) 1

Question 13.
The volume of a wood measuring 20 cm × 10 cm x 8 cm is ……………….
A) 900
B) 1800
C) 1600
D) 1000
C) 1600

Question 14.
If V = lbh then h = ……………..
A) $$\frac{\mathrm{vb}}{l}$$
B) $$\frac{l}{\mathrm{vb}}$$
C) $$\frac{\mathrm{lb}}{\mathrm{v}}$$
D) $$\frac{\mathrm{v}}{\mathrm{lb}}$$
D) $$\frac{\mathrm{v}}{\mathrm{lb}}$$

Question 15.
Number of formulae can be framed from the formula, V = lbh is ………………
A) 3
B) 6
C) 4
D) 9
A) 3

Question 16.
1 Litre = ……………. cu. cm
A) 1000
B) 100
C) 10
D) 800
A) 1000

Question 17.
If the breadth of a cuboid is half of its length and height is 2 times of its length then its volume is …………….
A) l
B) 2l
C) 10l
D) None
D) None

Question 18.
No.of soaps of measuring 6 cm × 4.5 cm × 40 mm are to be inserted in a cuboidal box of measuring 1.8 m × 90 cm × 60 cm is ………………
A) 1000
B) 2000
C) 9000
D) 8000
C) 9000

Question 19.
TSA of a cuboid is ………………
A) 2h (l + b)
B) 2 (lb + bh + lh)
C) 2 lb + 2 l2
D) 2 (lb – bh) – 1
B) 2 (lb + bh + lh)

Question 20.
The volume of a cube of edge 1 unit side is …………… cu. units.
A) 4
B) 3
C) 2
D) 1
D) 1

Question 21.
Area of four walls of a room is ………………
A) 2h (l + b)
B) 2 (l + b)
C) 2 (l – b)
D) 2 (a + b)
A) 2h (l + b)

Question 22.
Number of faces of a cube is …………..
A) 7
B) 8
C) 6
D) 9
C) 6

Question 23.
The volume of a cube is 216m3 then its edge is ……………. mts.
A) 22
B) 16
C) 9
D) 6
D) 6

Question 24.
Diagonal of a cube is ………………
A) a√3
B) $$\frac{\sqrt{3}}{a}$$
C) 3a
D) $$\frac{a}{\sqrt{3}}$$
A) a√3

Chapter 14 Surface Areas and Volume (Cube-Cuboid)

Question 25.
The measurements of a cuboid are 15 m length, 12 m breadth and height is 5
m then its volume is …………… cm3
A) 600
B) 500
C) 1800
D) 900
D) 900

Question 26.
In the above problem LSA = ……………… cm2
A) 170
B) 270
C) 180
D) 200
B) 270

Question 27.
The diagonal of a cube is  cm then its edge is ……………… cm
A) 6
B) 4
C) 9
D) 2
D) 2

Question 28.
The volume of a cuboid with sides a, b and c is v and its surface area is s then …………………
A) V = 2 s (a + b + 1)
B) V = 2 ($$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$$)
C) (b + c)
D) $$\frac{1}{\mathrm{~V}}=\frac{2}{\mathrm{~s}}\left(\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{~b}}+\frac{1}{\mathrm{c}}\right)$$
D) $$\frac{1}{\mathrm{~V}}=\frac{2}{\mathrm{~s}}\left(\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{~b}}+\frac{1}{\mathrm{c}}\right)$$

Question 29.
If the edge of a cube is doubled then its volume increases by ……………. times.
A) 9
B) 16
C) 8
D) 18
C) 8

Question 30.
If a trench with measurements 5m × 6m × 3m is dug out then its volume is …………… m3
A) 915
B) 105
C) 165
D) 115
B) 105

Question 31.
The base perimeter of a room is 34 m and its height is 10 m then the area of four walls of a room is …………….. m2
A) 170
B) 220
C) 140
D) 340
D) 340

Question 32.
The ratio between the LSA and area of base of a cuboid is ………………..
A) 1 : 2
B) 2 : 1
C) 4 : 1
D) 1 : 4
C) 4 : 1

Question 33.
TSA of a cuboid means area of ………………… faces.
A) 5
B) 6
C) 4
D) 10
B) 6

Question 34.
Two cubes of each edge ‘a’ is joined end to end then the surface area of the resultant cuboid is …………….
A) 9b2
B) 10b2
C) 18b
D) 16b2
B) 10b2

Question 35.
Two cubes of 6 cm edges are joined end to end then the volume of the resulting figure is ……………….. cm3
A) 432
B) 430
C) 332
D) 440
A) 432

Question 36.
Each face of a cube has a perimeter 32 cm then its side is ………………. cm
A) 12
B) 11
C) 16
D) 8
D) 8

Question 37.
In the above problem volume is ………………… cm3
A) 635
B) 116
C) 256
D) 156
C) 256

Question 38.
The edge of a cube is 6√2 cm then its base area is ………………. cm2.
A) 79
B) 36
C) 70
D) 72
D) 72

Question 39.
The measurements of a cuboid are 12m × 14m × 3.5m then its volume is ……………… cm3.
A) 288
B) 188
C) 588
D) 378
C) 588

Question 40.
The measurements of a cuboid are 8500 cm × 950 mm × 15 m then its V = ……….cu.m
A) 1312.51
B) 1211.25
C) 1416.51
D) 1011.51
B) 1211.25

Question 41.
One cube is cut in 8 equal cubes of each edge 4 cm then the volume of that small cube is …………….
A) 125 m3
B) 512 m3
C) 160 m3
D) None
B) 512 m3

❖ Calculate the volume of the following cuboids.

Question 42.

A) 176 cm3
B) 576 cm3
C) 369 cm3
D) 345 cm3
B) 576 cm3

Question 43.

A) 80 m3
B) 90 m3
C) 110 m3
D)120 m3
A) 80 m3

Question 44.

A) 700 m3
B) 300 m3
C) 600 m3
D) 200 m3
D) 200 m3

Question 45.
Identify cuboidal shape from the following:
A) Brick
B) Book
C) Match box
D) All the above
D) All the above

Question 46.
A cube has edge 1.6m then its V = ……………… – m3
A) 3.875
B) 4.96
C) 3.857
D) 4.096
D) 4.096

Question 47.
The volume of a cube is 2197 cm3 then its a = ……………… cm.
A) 13
B) 23
C) 85
D) 6
A) 13

Question 48.
Diagonal of a cuboid is ………………..
A) l + $$\sqrt{2 b}$$
B) $$\sqrt{l^{2}+\mathrm{b}^{2}+\mathrm{h}^{2}}$$
C) $$\sqrt{l-2 b}$$
D) None
B) $$\sqrt{l^{2}+\mathrm{b}^{2}+\mathrm{h}^{2}}$$

Question 49.
A cuboid will become a cube if ……………..
A) l < b < h
B) l > 2b = h
C) l = b = h
D) l = b > h