#### Volumes Maths Mcqs (Mathematics) – Maths MCQs Latest For FPSC, PPSC, NTS, KPPSC, SPSC & Other Tests

**“**Volumes** Maths Mcqs (Mathematics)”.** Tab this page to check **“Latest **Volumes** Maths MCQs”** for the preparation of **competitive mcqs, FPSC mcqs, PPSC mcqs, SPSC mcqs, KPPSC mcqs, AJKPSC mcqs, BPSC mcqs, NTS mcqs, PTS mcqs, OTS mcqs, Atomic Energy mcqs, Pak Army mcqs, Pak Navy mcqs, CTS mcqs, ETEA mcqs** and others. The most occurred **mcqs of Maths** in past papers. **Past papers of **Volumes** Maths mcqs**. **Past papers of **Volumes** Maths MCQs**. Volumes Maths Mcqs are the necessary part of any competitive / job related exams. The Volumes **Maths mcqs** having specific numbers in any written test. It is therefore everyone have to learn / remember the related Volumes **Maths mcqs**. The Important mcqs of Volumes Mathematics series are given below:

**If the volume and surface area of a sphere is numerically the same then it’s radius is_________?**

A. 2 units

B. 1 unit **C. 3 units**

D. 4 units

**A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?**

A. 2: 5

B. 3: 5

C. 3: 1**D. 1: 3**

**The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?**

**A. 4/3 times its radius**

B. Equal to it’s radius

C. 2/3 times its radius

D. Equal to it’s diameter

**The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?**

A. 4

B. 3 **C. 5**

D. 6

**The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?**

A. 243 m

B. 24.3 m

C. 2430 m**D. 24300 m**

**The radius of a wire is decreased to one –third if volume remains the same length will increase**

A. 3 times

B. 1 Time

C. 6 times**D. 9 times**

**If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?**

A. 2√2 : 1

B. 8: 1 **C. 2 : 1**

D. None of these

**A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?**

A. 296 cm^{2} **B. 286 cm ^{2}**

C. 284 cm

^{2}

D. 300 cm

^{2}

**A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?**

A. 9800000 **B. 1000000**

C. 1200000

D. 7500000

**If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm ^{2}, then length breadth and height in cms, are respectively?**

A. 85, 75, 60

B. 90, 85, 60

C. 90, 75, 70**D. 90, 75,60**

**The surface area of a cube is 726m ^{2}, its volume is?**

A. 1452 m^{3} **B. 1331 m ^{3}**

C. 1300 m

^{3}

D. 1542 m

^{3}

**The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?**

A. 9:16

B. 3:8 **C. 9:32**

D. 9:64

**Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?**

A. 1:4 **B. 1:8**

C. 1:64

D. 8:1

**The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?**

A. 9:16

B. 3:4 **C. 1:8**

D. 4:3

##### Basic Maths Mcqs

**The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?**

A. 2:1 **B. 1:4**

C. 1:2

D. 4:1

**The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?**

A. 1:4

B. 1:2 **C. 1:8**

D. 2:1

**A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?**

A. 18 cm **B. 10 cm**

C. 12 cm

D. 24 cm

**Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?**

A. 5000

B. 4000 **C. 6000**

D. 7000

**If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?**

A. 900 **B. 1000**

C. 500

D. 600

**A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?**

A. 23000

B. 24000

C. 22000**D. 25000**

**In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________?**

A. 10000 cu.m **B. 1000 cu.m**

C. 100 cu.m

D. 2000 cu.m

**If the height of a cone is increased by 100% then its volume is increased by_________?**

**A. 100%**

B. 300%

C. 200%

D. 400%

**A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?**

A. 1:2 **B. 3:1**

C. 1:3

D. 2:1

**The length of the longest rod that can fit in a cubical room of 4 m side is?**

A. 5.196 m

B. 8.66 m **C. 6.928 m**

D. 7.264 m

**The area of the cardboard(in cm ^{2}) needed to make a box of size 25 cm * 15 cm * 8 cm will be__________?**

**A. 1390 cm ^{2}**

B. 1280 cm

^{2}

C. 695 cm

^{2}

D. 1220 cm

^{2}

**A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?**

A. 0.29 cm

B. 0.299 cm **C. 2.98 cm**

D. 4.15 cm

**A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?**

**A. 4500 M ^{3}**

B. 3000 M

^{3}

C. 27000 M

^{3}

D. 2700 M

^{3}

**The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm ^{3} of metal used in the box weighs 0.5 gms, the weight of the box is________?**

A. 7.76 kg

B. 8.56 kg

C. 7.756 kg**D. 6.832 kg**

**The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?**

A. 4:2

B. 4:3

C. 4:4**D. 6: π**

##### Average Maths Mcqs

**A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m ^{2 }?**

A. Rs.55 **B. Rs.57**

C. Rs.60

D. Rs.52

**How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?**

A. 600

B. 1000

C. 2400**D. 1200**

**A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m ^{2}; find the length of the diagonal of the courtyard?**

A. 35 m

B. 25 m

C. 45 m**D. 50 m**

**If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?**

**A. 4:3**

B. 64:27

C. 16:9

D. 3:4

**Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?**

A. 19 cm

B. 21 cm

C. 32 cm**D. 18 cm**

**The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?**

A. 1:9 **B. 1:27**

C. 27:1

D. 9:1

**How many shots of 1cm radius can be prepared from a sphere of 3cm radius?**

A. 64

B. 36 **C. 27**

D. 16

**Find the ratio between whole surfaces of a sphere and a hemisphere?**

A. 3:1 **B. 4:3**

C. 3:4

D. 1:3

**The curved surface of a sphere is 64 π cm ^{2}. Find its radius?**

A. 2 cm

B. 1 cm **C. 4 cm**

D. 3 cm

**The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.**

A. 36 π cm^{2}

B. 74 π cm^{2} **C. 48 π cm ^{2}**

D. 24 π cm

^{2}

**The area of a base of a cone is 30 cm ^{2}. If the height of the cone is 6cm, find its volume?**

A. 40 cm^{3}

B. 120 cm^{3}

C. 50 cm^{3}**D. 60 cm ^{3}**

**The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?**

**A. 12 π cm ^{3}**

B. 8 π cm

^{3}

C. 6 π cm

^{3}

D. 10 π cm

^{3}

**Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.**

**A. 1:2**

B. 1:4

C. 2:1

D. 4:1

**Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?**

**A. 360 cc**

B. 300 cc

C. 60 cc

D. 36 cc

**Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?**

A. Rs.1285

B. Rs.1185

C. Rs.1385**D. Rs.1485**

##### Compound Interest Maths Mcqs

**The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?**

A. 220 sq cm

B. 308 sq cm **C. 440 sq cm**

D. 132 sq cm

**The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?**

A. 150 π cc **B. 45 π cc**

C. 30 π cc

D. 180 π cc

**The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?**

A. 3 πr^{2} sq units

B. 18 πr^{2} sq units **C. 12 πr ^{2} sq units**

D. 6 πr

^{2}sq units

**The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?**

A. 3 cm **B. 2.5 cm**

C. 2.66 cm

D. 3.5 cm

**If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm ^{2}) is________?**

**A. 100π**

B. 60π

C. 7π

D. 50π

**The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?**

A. 1:16

B. 1:4 **C. 1:8**

D. 1:64

**The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?**

A. 3:5

B. 6:25 **C. 9:25**

D. 16:25

**What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?**

A. 12 cm

B. 10 cm

C. 15 cm**D. 13 cm**

**Find the length of the wire required to go 15 times round a square field containing 69696 m ^{2}.**

**A. 15840 m**

B. 15820 m

C. 16840 m

D. 15640 m

**The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?**

A. 14 cm **B. 12 cm**

C. 8 cm

D. 10 cm

**The area of the floor of a room is 20 m ^{2} that of a longer wall 15 m^{2} and of the shorter wall 12 m^{2}, find the edge of the new cube?**

A. 100 m^{2}

B. 450 m^{3} **C. 60 m ^{3}**

D. 400 m

^{3}

**If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?**

A. 8:1

B. 3:1 **C. 9:1**

D. 12:1

**The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.**

A. 19 cm

B. 5 cm **C. 13 cm**

D. 144 cm

**The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?**

A. 148 cm^{2} **B. 120 cm ^{2}**

C. 120 cm

^{3}

D. 15 cm

^{3}

**The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?**

A. 74 cm^{2} **B. 148 cm ^{2}**

C. 120 cm

^{2}

D. 15 cm

^{2}

**The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?**

A. 4 dm

B. 3 dm

C. 5 dm**D. 6 dm**

**How many cubes of edge 2 dm can be cut out of a meter cube?**

A. 216

B. 64

C. 50 **D. 125**

**The volume of a cube is 1728 cc. Find its surface.**

**A. 864 cm ^{2}**

B. 486 cm

^{2}

C. 648 cm

^{2}

D. 468 cm

^{2}

**The surface of a cube is 24sq cm. Find its volume?**

**A. 8 cc**

B. 32 cc

C. 16 cc

D. 64 cc

**The edge of a cube is 2a cm. Find its surface?**

A. 8a^{2} cm^{2}

B. 6a^{2} cm^{2}

C. 12a^{2} cm^{2}**D. 24a ^{2} cm^{2}**

**A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is________?**

A. 4h

B. 2h **C. 2h/3**

D. 3h/2

**If the radius of the sphere is doubled then it’s volume is increased by?**

A. 200 %

B. 100 % **C. 700 %**

D. 800 %

**The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.**

A. 6 : 7 **B. 7 : 3**

C. 3 : 7

D. 7 : 6

**A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________?**

A. 1 m **B. 1 dm**

C. 90 cm

D. 1.1 cm

**What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?**

A. 344.35 cm2

B. 344.35 cm2 **C. 344.35 cm2**

D. None of these

**A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?**

A. 3 : 2

B. 2 : 1 **C. 25 : 18**

D. 27 : 20

**Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be**

A. 4727 cm2

B. 4920 cm2 **C. 9856 cm2**

D. 19712 cm2