If you are preparing for Defence Exam, then here you can practice Surface Areas and Volumes Question MCQ which can help in your preparation.
Question 1- A rectangular water tank is 8 in high, 6 m long and 2.5 in wide. How many litres of water can it hold?
(A) 120 litres
(B) 1200 litres
(C) 12000 litres
(D) 120000 litres
Question 2-What would be the measure of the diagonal of a square whose area is equal to 882 cm2 ?
(A) 34 m
(B) 36 m
(C) 42 m
(D) 46 m
Question 3-In circular path, the radii of 2 concentric circles are 56 m and 49 m. Find the area of the circular path.
(A) 2020 m2
(B) 2310 m2
(C) 3010 m2
(D) 3200 m2
Question 4 -A playground 60 m x 40 m is extended on all sides by 3 m. What is the extended area?
(A) 336 m2
(B) 636 m2
(C) 628 m2
(D) 616 m2
Question 5 -The lateral surface area and total surface area of the cube having side 24 cm are respectively.
(A) 3004 cm2, 4256 cm2
(B) 4204 cm2, 6556 cm2
(C) 2304 cm2, 3456 cm2
(D) 3040 cm2, 5456 cm2
Surface Areas and Volumes Question
Question 6 -If the length, breadth and height of a rectangular box are 90 cm, 50 cm and 100 cm respectively, then its volume will be
(A) 0.35 m3
(B) 0.45 m3
(C) 45 cm3
(D) 450 cm3
Question 7 -The volume of a solid right circular cone is 4928 cm3. If its height is 24 cm then the radius of the cone is (Use π = 22/7)
(A) 14 cm
(B) 21 cm
(C) 28 cm
(D) 48 cm
Question 8 – Curved surface area of frustum of a cone is
(A) 2πr2h sq. units
(B) 2πrh sq. units
(C) πrl sq. units
(D) π(R+r)l sq. units
Question 9 -The area of a sector of a circle of radius 21 cm is 231 cm2. Find its central angle
(A) 30°
(B) 45°
(C) 60°
(D) 90°
Question 10 -If the volumes of two cones are in the ratio 1:4 and their diameters are in the ratio 4:5 then the ratio of their heights is
(A) 1:5
(B) 1:4
(C) 9:16
(D) 25:64
Surface Areas and Volumes Question
Question 11 – The radius and length of arc of a sector are 10em and 15em respectively. Find its perimeter
(A) 15 cm
(B) 20 cm
(C) 25 cm
(D) 35 cm
Question 12- The volume of the cube is 729 cm2. What is the length of the diagonal?
(A) 9√2
(B) 9√3
(C) 18
(D) 18√3
Question 13-Find the approximate length of the longest pole that can be put in a room 10 m x 8 m x 5 m.
(A) 11.50 m
(B) 13.75 m
(C) 14.25 m
(D) 15.15 m
Question 14 -A man riding a bicycle, completes one lap of a circular field along the circumference at the speed of 14.4km/hr in 1 minute 28 sec. What is the area of the field?
(A) 7950 sq. m.
(B) 8812 sq. m.
(C) 9856 sq. m.
(D) 9963 sq. m
Question 15 -If the lengths of the sides of a triangle are 11 cm, 60 cm and 61 cm, then its area is
(A) 140 sq. cm.
(B) 305 sq. cm.
(C) 330 sq. cm.
(D) 640 sq. cm.
Surface Areas and Volumes Question
Question 16 -The surface area of a cube is 384 cm2. Find its volume.
(A) 341 cm3
(B) 343 cm3
(C) 402 cm3
(D) 512 cm3
Question 17 -Find the area of the iron sheet required to prepare a cone of 24 cm height with base radius 7 cm.
(A) 0.704 cm2
(B) 7.04 cm2
(C) 70.4 cm2
(D) 704 cm2
Question 18 -A building is in the form of a hollow hemisphere of outer radius 100 m and thickness of wall is 1 m. If cost of painting 1 sq. m. is Rs. 5 then total cost of painting both the outer and inner walls of the building is (Take π = 22/7)
(A) Rs. 1,24,000
(B) Rs. 2,51,000
(C) Rs. 5,12,124
(D) Rs. 6,22.317
Question 19 -The volume of the hemi sphere is 1152 π cm3 then the curved surface area of the hemisphere is
(A) 240 π cm2
(B) 202 π cm2
(C) 288 π cm2
(D) 330 π cm2
Question 20 -The volume of a cone is 216 π cm3. If the base radius is 9 cm. Find the height of the cone.
(A) 6 cm
(B) 7 cm
(C) 8 cm
(D) 9 cm
Surface Areas and Volumes Question, Surface Areas and Volumes Question, Surface Areas and Volumes Question
Surface Areas and Volumes Question – Mathematics MCQ Answer Key: –
| Question No. | Answer | Question No. | Answer |
| Question 1 | D | Question 11 | D |
| Question 2 | C | Question 12 | B |
| Question 3 | B | Question 13 | B |
| Question 4 | B | Question 14 | C |
| Question 5 | C | Question 15 | C |
| Question 6 | B | Question 16 | D |
| Question 7 | A | Question 17 | D |
| Question 8 | D | Question 18 | D |
| Question 9 | C | Question 19 | C |
| Question 10 | D | Question 20 | C |
