This set of Aptitude Questions and Answers (MCQs) focuses on “Volume and Surface Area”. These questions are beneficial for various competitive exams, placement interviews, and entrance tests.
1. Rain water fills a tub of dimensions 11m * 8m * 5m. What is the capacity of this tub in cubic meter?
a) 410
b) 220
c) 440
d) 390
View Answer
Explanation: Given,
Dimensions = 11m * 8m * 5m
Capacity = l * b * h
= 11 * 8 * 5
= 440 m3
2. What will be the volume of a cuboidal tank having base area as 65 m2 and height 4 m?
a) 260
b) 320
c) 290
d) 340
View Answer
Explanation: Given,
Base area = 65 m2, Height = 4 m
Volume of cuboid = Base area * Height
= 65 * 4
= 260 m3
3. Five cubes each of side 6 cm are joined end to end. What will be the volume (in cubic cm) of the cuboid so formed?
a) 2400
b) 1080
c) 1670
d) 1990
View Answer
Explanation: According to the question,
Length = 6 * 5 = 30 cm
Breadth = 6 cm
Height = 6 cm
Volume = l * b * h
= 30 * 6 * 6
= 1080 cm3
4. A cubical tank has an edge equal to 9m. What will be the amount of water it will contain when it is two – third filled?
a) 486 m3
b) 450 m3
c) 520 m3
d) 435 m3
View Answer
Explanation: Given,
a = 5m
Volume = a3
= (9m)3
= 729 m3
Two third capacity = (2 / 3) * volume
= (2 / 3) * 729 m3
= 486 m3
5. The surface area of a cubical block is 400 m2. What will be the volume (in cubic m) of this cubical block?
a) 6000
b) 2000
c) 8000
d) 4000
View Answer
Explanation: Given,
Surface area of cube = 400 m2
Let the side length = a. Thus,
➩ a2 = 400 m2
➩ a = 20 m
Volume = a3
= (20 m)3
= 8000 m3
6. A cubical tank has edge length as 7m long. What will be the amount of water (in L) it can hold?
a) 350000
b) 700000
c) 490000
d) 343000
View Answer
Explanation: Given,
a = 7m
Volume = a3
= (7 m)3
= 343 m3
1 m3 = 1000L
Volume in L = 343 * 1000 L
= 343000 L
7. A small cuboidal box measures 5 cm * 4 cm * 3 cm. What will be the volume (in cubic cm) of a packet containing 15 such boxes?
a) 900
b) 700
c) 825
d) 975
View Answer
Explanation: Given,
Small cuboidal box = 5 cm * 4 cm * 3 cm
Volume of 1 small cuboidal box = 5 * 4 * 3
= 60 cm3
Volume of packet = 15 * volume of small cuboidal box
= 15 * 60 cm3
= 900 cm3
8. What would be the edge of a cube having volume equal to the volume of a cuboid having dimensions as 2 cm * 4 cm * 8 cm?
a) 6 cm
b) 8 cm
c) 4 cm
d) 16 cm
View Answer
Explanation: Given,
Volume of cuboid = 2 cm * 4 cm * 8 cm
= 64 cm3
Let the side of the cube = z cm
Volume of cube = z3
➩ z3 = 64 cm3
➩ z = 4 cm
9. A cube of edge 5 cm is converted to a cuboid of height 5 cm. What will be the area (in sq. cm) of the base of this cuboid?
a) 15
b) 25
c) 5
d) 35
View Answer
Explanation: According to the question,
Volume of cube = Volume of cuboid
5 * 5 * 5 cm3 = Area of base * height
125 cm3 = Area of base * 5 cm
25 cm2 = Area of base
10. A larger cube having volume as 125 m3 is cut into a number of smaller cubes each having side length of 1 m. What will be the number of such small cubes?
a) 125
b) 144
c) 25
d) 95
View Answer
Explanation: Given,
Volume of larger cube = 125 m3
Volume of smaller cube = 1 * 1 * 1 m3
= 1 m3
Number of smaller cubes = Volume of larger cube / Volume of smaller cube
= 125 m3 / 1 m3
= 125
More Aptitude Questions and Answers on Volume and Surface Area:
- Volume and Surface Area Questions (Set 2)
- Volume and Surface Area Questions (Set 3)
- Volume and Surface Area Questions (Set 4)
- Volume and Surface Area Questions (Set 5)
- Volume and Surface Area Questions (Set 6)
- Volume and Surface Area Questions (Set 7)
- Volume and Surface Area Questions (Set 8)
- Volume and Surface Area Questions (Set 9)
- Volume and Surface Area Questions (Set 10)
To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.
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