Question

EXERCISE 13.5
1. A matchbox measures 4 cm x 2.5 cm x 15 cm. What will be the volume of a
containing 12 such boxes?
2.
A cuboidal water tank is 6 m long, 5 m wide and 45 m deep. How many litres of wie
can it hold? (1 m= 1000.)
3. A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 3a
cubic metres of a liquid?
4. Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the ste of
30 per m.
5. The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the canik.
if its length and depth are respectively 25 m and 10 m.
6. A village, having a population of 4000, requires 150 litres of water per head per day. In
has a tank measuring 20 mx 15 mx6 m. For how many days will the water of this tank
last?
7. A godown measures 40 mx25m x 15 m. Find the maximum number of wooden CHE
each measuring 1.5 mx 1.25 mx 0.5 m that can be stored in the godown.
8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the
side of the new cube? Also, find the ratio between their surface areas.
9. Ariver 3 m deep and 40 m wide is flowing at the rate of 2 km per hour How much wie
will fall into the sea in a minute?​

Answer 1

Answer:

1. V = lbh

= 4×2.5×15

= 150cm³

V of 12 such boxes = 12×150cm³

= 1800cm³

2. V = lbh

= 6×5×45

= 1350m³

1m³ = 1000litres

1350m³ = 1350000 litres

3.