Volume and Surface Area with Explanation

Q1. The volume of milk present in a rectangular container is 2.6 cubic meters, and the area of the base of this container is 6500 sq.cm. Find the depth of milk in the container?

 A. 6 m B. 4 m C. 5 m D. 3.6 m

Q2. The Ganga is flowing at a speed of 3.5 km/hr if the river is 36 m wide and 1.5 m deep, what is the amount of water that runs into the sea per minute?

 A. 3150 cubic meters B. 3250 cubic meters C. 6200 cubic meters D. 6500 cubic meters

Q3. The surface area of a cuboid is 88 sq.cm, and its edges are in the ratio 3 : 2 : 3. What is the volume the cuboid?

 A. 24 cubic cm B. 64 cubic cm C. 96 cubic cm D. 48 cubic cm

Q4. Paint costs Rs. 36.50 per kg and to cover 16 sq.ft, 1 kg of paint is required. Find the cost to paint the cube from outside having each side of 8 ft?

 A. Rs. 876 B. Rs. 786 C. Rs. 695 D. Rs. 978

Q5. The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3, what is the ratio of their volumes?

 A. 27 : 20 B. 9 : 4 C. 20 : 27 D. 4 : 9

Q6. A metallic sheet is of the rectangular shape with dimension 48 cm x 36 cm. From each one of its corners, a square of 8 cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box?

 A. 4860 cubic cm B. 5120 cubic cm C. 4978 cubic cm D. 5210 cubic cm

Q7. How many planks each of which is 2 m long, 2.5 cm broad, and 4 cm thick can be cut off from a wooden block 6 m long, 15 cm broad, and 40 cm thick?

 A. 160 B. 150 C. 170 D. 180   