Find the volume in cubic metres (cu.m) of each of the cuboids whose dimensions are :

(i) length = 12 m, breadth = 10 m, height = 4.5 m

(ii) length = 14 m, breadth = 2.5m, height = 50 cm

(iii) length = 10m, breadth = 25 dm, height = 25 cm.

Find the volume in cubic decimetre of each of the cubes whose side is

(i) 1.5 m

(ii) 2 dm 5 cm

How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?

What will be the height of a cuboid of volume 168 m³, if the area of its base is 28 m²?

A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain?

The capacity of a certain cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its height and length are 10 m and 2.5 m respectively.

A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of diesel can it hold?

The length, breadth and height of a room are 5 m, 4.5 m and 3 m respectively. Find the volume of the air it contains.

A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can it hold?

How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long., 75 cm broad and 45 cm thick?

How many bricks each of size 25 cm× 10 cm× 8 cm will be required to build a wall 5 m long, 3 m high and 16 cm thick, assuming that the volume of sand and cement used in the construction is negligible?

A village, having a population of 4000, required 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?

A rectangular field is 70 m long and 60 m broad. A well of dimensions 14 m × 8 m × 6 m is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?

A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.

A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?

The rainfall on a certain day was 6 cm. How many litres of water fell on 3 hectares of field on that day?

An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.

The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?

A solid rectangular piece of iron measures 6 m by 6 cm by 2 cm. Find the weight of this piece, if 1 cm³ of iron weighs 8 gm.

Fill in the blanks in each of the following so as to make the statement true :

(i) 1 m³= ……….. cm³

(ii) 1 litre = …….cubic decimetre

(iii) 1 kl = ………… m³

(iv) The volume of a cube of side 8 cm is …….

(v) The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm³. The height of the cuboid is …50…. cm.

(vi) 1 cu. Dm = …….. cu. Mm

(vii) 1 cu. Km = ……… cu. M

(viii) 1 litre = ......cu. Cm

(ix) 1 ml = ……. Cu. Cm

(x) 1 kl = …… cu. Dm = ……….. cu. Cm.