Question

1. The length of parallel sides of a trapezium are in the ratio 3:5 and the
distance between them is 10 cm. If the area of trapezium is 120 sq cm then
the length of its parallel sides are ____________ and ___________
2. If two cubes each of edge 12 cm are joined end to end, then the surface area
of resulting cuboid is_____________
3. The area of the cardboard required to make a closed cuboidal box of length
25 cm, breadth 0.5m and height 15 cm is______________
4. If two cubes each of edge 6 cm are joined end to end, then the volume of the
resulting cuboid is________________
5. If a beam 9m long, 50 cm wide and 20 cm deep is made of wood which
weighs 30 Kg per m3
, then the weight of the beam is________
6. A carpenter makes a letter box which has volume of 13400 cm3
. If the area
of the base is 670 cm2
then the height of the letter box is _____
7. 7.8 litres= __________ cm3
8. If a solid cube of edge 10 cm is melted and cast into a cuboid whose base
measures 20 cm by 10 cm then the height of the cuboid
is________________
9. A metal cube of ege 9 cm is melted and formed into three smaller cubes. If
the edges of two smaller cubes are 1 cm and 6 cm, then the edge of the third
cube is______
10.If the curved surface area of a right circular cylinder of height 35 cm is 121
sq cm, then the radius of its base is______________
11.If the area of the base of a right circular cylinder is 15400 sq cm and its
volume is 92400 cm3
, then the area of its curved surface is _________
12.If the ratio of radius and height of a cylinder is 5:7 and its volume is 550
cm3
, then the length of its radius is_____________
13.If 3 kg of sugar contains 9 × 108
crystals, the number of sugar crystals in 4
kg of sugar is ___________.
14.Six pumps working together empty a tank in 28 minutes. Time taken to
empty the tank if 4 such pumps are working together is ___________.
15.A train travels 112 km in 1 hour 30 minutes with a certain speed. The
distance covered by train in 4 hours 45 minutes with the same
speed_____________
16.8 pipes are required to fill a tank in 1 hr 20 min. Time taken if only 6 pipes
of the same type are used_____________.
17.A garrison of 120 men has provisions for 30 days. At the end of 5 days, 5
more men joined them. The number of days they can sustain on the
remaining provision______________
18.If two cardboard boxes occupy 500 cubic centimetres space, then the space
required to keep 200 such boxes_____________
19.Under the condition that the temperature remains constant, the volume of
gas is inversely proportional to its pressure. If the volume of gas is 630 cubic
centimetres at a pressure of 360 mm of mercury, then the pressure of the gas
if its volume is 720 cubic centimetres at the same temperature is
_________________
20.In a scout camp, there is food provision for 300 cadets for 42 days. If 50
more persons join the camp, days for which the provision last is
_______________

Answer 1

Step-by-step explanation:

If the length of the parallel sides of thetrapezium are one and two and the perpendicular distance between them is ℎ, then the area of the trapezium is given by one-half multiplied by ℎ multiplied by the sum of one and two.