Problem type-1
1- Find the volume, lateral surface area and total surface area of the cuboid whose length = 22cm, breadth = 12 CM and height = 7.5 cm
2- Find the volume, lateral surface area and total surface area of the cuboid whose length = 15 m, breadth = 6 m and height = 9 dm
3- Find the volume, lateral surface area and total surface area of the cuboid whose length = 24 m, breadth = 25cm and height = 6 m
4- Find the volume, lateral surface area and total surface area of the cuboid whose length = 48 cm, breadth = 6 dm and height = 1m
Problem type-2
1- Find the volume of oil in litres that can poured into a cuboidal tin whose internal dimensions are 8cm x 4cm x 10cm.
2- The dimensions of a rectangular water tank are 2m 75cm by 1m 80cm by 1m 40cm. How many litres of water does it hold when filled to the brim?
Hint- 1cubic meter = 1000 liter
3- A tank is 5m long, 4m wide and 3m high. How much liter of water can it hold?
Problem type-3
1- the capacity of a cultural tank is 50,000 liters. Find the breathe of tank if it's length and depth are 2.5m and 10m respectively.
2- The capacity of a tank is 60 kl. If the length and breadth of the tank are 5m and 4m respectively, then find its depth.
Problem type-4
1- A solid rectangular piece of iron measures 1.05m x 70cm x 1.5cm . Find the weight of this piece in kilograms if 1cube CM of iron weighs 8 gram.
Problem type-5
1- How many persons can be accommodated in a hall of length 16m breadth 12.5m and height 4.5m, assuming that3.6 cubic meter of air is required for each person?
2- A cardboard box is 1.2m long, 72cm wide and 54cm high. How many bars of soap can be put into it if each bar measures 6cm x 4.5cm x 4cm?
3- How many bricks each of dimensions 18cm by 12cm by 10cm, will be required to build a wall 12m long, 80cm thick and 3.6m high.
4- How many bricks each 25 CM long, 10cm wide and 7.5cm thick will be required for a wall 15m long, 2.5m high and 1.25m thick.
5- How many planks of size 2m x 25cm x 8cm can be prepared from a wooden block 5m long, 70cm broad and 32cm thick. Assuming that there is no wastage?
6- How many bricks, each of size 25cm x 13.5cm x 6cm, will be required to build a wall 8m long, 5.4m high and 33cm thick?
Problem type-6
1- A pit 5m long and 3.5m wide is dug to a certain depth. If the volume of earth taken out of it is 14 cubic meter, What is the depth of the pit?
Problem type-7
1 - A rectangular water tank is 90cm wide and 40cm deep. If it contain 576 litres of water. What is its length?
19- The rainfall recorded on a certain day was 5cm. Find the volume of water that fell on 2 hectare field.
20- The volume of block of gold is 0.5 cubic meter. If it is hammered into a sheet to cover an area of 1 hectare, find the thickness of the sheet.
21- The volume of a room is 378cubic meter. And the area of its floor is 84 square meter. Find the height of room.
22- a beam of wood is 5m long and 36 CM thick. It is made of 1.35 cubic meter of wood. What is the width of the wood?
23- A swimming pool is 260m long and 140m wide. If 54600 cubic meter of water is pumped into it, find the height of the water level in it.
24- The dimensions of a metal block are 2.25m by 1.5m by 27cm. It is melted and recast into cubes, each of side 45cm. How many cubes are formed.
1- Find the volume, lateral surface area and total surface area of cube each of whose edges measures 7 m
2- Find the volume, lateral surface area and total surface area of cube each of whose edges measures 5.6 cm
3- Find the volume, lateral surface area and total surface area of cube each of whose edges measures 8 dm 5 cm
4- find the volume of cube, whose volume is four times the volume of a cuboid of dimensions are 8cm x 6cm x 5cm.
5- find the volume of cube, whose volume is four times the volume of a cuboid of dimensions are 15cm x 12cm x 10cm.
6- find the volume of cuboid, whose volume is six times the volume of a cube, whose each edge is 12cm.
7- find the volume of cuboid, whose volume is six times the volume of a cube, whose each edge is 10cm.
8- How many boxes can be accommodated in a cubic godown of length 17m if each box requires 3.4 cubic meter of space? The boxes are placed in the room without leaving any space between them.
9- A cuboid measures 36m by 24m by 18m. How many cubes of edge 6m can be cut from the cuboid?
10- A cubical block of gold was melted and cast into 10 smaller cubes of edge 1.5cm. What was the volume of the cubical block of gold?
11- A cuboidal tank is 30cm long, 30cm wide and 1m 60 CM high. It has water up to a height of 40cm. How much more cubic CM of water can the tank contain?
12- A cuboid measures 48m by32m by 24m and each edge of a cube measures 16m. Find the ratio of their volume.
13- The volume of cube is 729 cubic CM. find the surface area?
14- Find the total surface area of the cube whose volume is 343 cubic CM.
15- the surface area of cube is 1176 square CM, find the volume.
16- find the volume of the cube whose total surface area is 486 square CM.
17- A solid cubical of fine wood costs Ra 256 at Ra 500 per cubic meter. Find its volume and the length of its side.
A closed figure that is bounded by four sides is called quadrilateral.
A quadrilateral has four vertex = A , B , C , D
A quadrilateral has four angles = ∠BAD , ∠ABC ,
∠BCD , ∠ADC
Ans:- The sum of all angles of a quadrilateral is 360°
1- A quadrilateral has __________ angles.
2- A quadrilateral has __________ diagonals.
3- A quadrilateral has __________ sides.
4- A quadrilateral has __________ vertices.
4- In the quadrilateral ABCD, ∠A = 120° , ∠B = 100° and ∠C = 60° Find the measure of ∠D
5- In the quadrilateral ABCD, ∠B = 100° , ∠C = 80° and ∠D = 70° Find the measure of ∠A
Ans:- Two lines are called parallel if they do not intersect at any point.
Ans:- A quadrilateral whose opposite sides are parallel is called parallelogram.
Fill in the blanks
1- A diagonal of a quadrilateral is a line segment that joins two ______ vertices of a quadrilateral.
2- The sum of the angles of a quadrilateral is __________.
3- A quadrilateral has __________ vertices, No three of which are _____.
The three angles of a quadrilateral are 76°, 54°, and 108° . Find the measure of fourth angle.
The three angles of a quadrilateral are 54°, 80°, and 116° . Find the measure of fourth angle.
The angles of a quadrilateral are in the ratio 3: 5 : 7 : 9. Find the measure of each of the angle.
The angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Find the angles.
A quadrilateral has three acute angles, each measuring 75° . find the measure of fourth angle.