# MCQ on surface areas and volumes

**MCQ on surface areas and volumes**

**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

**2-What would be the measure of the diagonal of a square whose area is equal to 882 cm ^{2} ?**

(A) 34 m

(B) 36 m

(C) 42 m

(D) 46 m

**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 m^{2}

(B) 2310 m^{2}

(C) 3010 m^{2}

(D) 3200 m^{2}

**4-A playground 60 m x 40 m is extended on all sides by 3 m. What is the extended area? **

(A) 336 m^{2}

(B) 636 m^{2}

(C) 628 m^{2}

(D) 616 m^{2}

**5-The lateral surface area and total surface area of the cube having side 24 cm are respectively.**

(A) 3004 cm^{2}, 4256 cm^{2}

(B) 4204 cm^{2}, 6556 cm^{2}

(C) 2304 cm^{2}, 3456 cm^{2}

(D) 3040 cm^{2}, 5456 cm^{2}

**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 m^{3}

(B) 0.45 m^{3}

(C) 45 cm^{3}

(D) 450 cm^{3}

**7-The volume of a solid right circular cone is 4928 cm ^{3}. 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

**8-Curved surface area of frustum of a cone is**

(A) 2πr^{2}h sq. units

(B) 2πrh sq. units

(C) πrl sq. units

(D) π(R+r)l sq. units

**9-The area of a sector of a circle of radius 21 cm is 231 cm ^{2}. Find its central angle**

(A) 30°

(B) 45°

(C) 60°

(D) 90°

**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

**ANSWERS:**

**1-(D), 2-(C), 3-(B), 4-(B), 5-(C), 6-(B), 7-(A), 8-(D), 9-(C), 10-(D)**