U8. Volume of Solids and Liquids

The volume of a cubical tank is 4096 cm³. What is the length of one edge of the tank?

(a)  

The shaded face of a cuboid is a square. If the volume is 12600 cm³, and the breadth is 14 cm. Find the length of one side of the square face!

(a)  

A steel cube has a volume of 9261 cm³. It is melted and made into a cuboid. Its height is the same as the original cube and its length is 63 cm. Find the breadth of the cuboid.

(a)  

A rectangular block is 31 cm long. A cube with a volume of 512 cm³ is cut from the block as shown. What is the volume of the remaining block?

(a)  

A rectangular container measuring 22 cm by 17cm by 9 cm was completely filled with water. Janet poured out 1122 ml of water from the container. What was the height of the water level in the end?

(a)  

A rectangular tank with a base area of 812 cm² and height of 15 cm is filled with 2.24 liter of water. How much water is needed to fill the tank completely? Give your answer in litres.

(a)  

A rectangular tank is 4/9 filled with water. It contains 3.5 liter of water.

If the tank has length of 5 cm and the breadth of 7 cm :

a) Find the height of the tank.

b) water flows into the tank at 0.025 liter per minute. How long will it take to fill the tank to the brim?

(a)