West Bengal Board Class 10 Math Book Solution In English Chapter 4 Rectangular Parallelopiped or Cuboid Exercise 4.2
Question 1. Let us write the names of 4 cuboids and 4 cube-shaped solid things in our environment.
Wbbse Ccircles class 10 exercise 4.2 Solution:
1. Name of 4 rectangular parallelopipeds:
Brick;
Matchbox;
Mathematics book;
Geometry box.
2. Name of 4 cubes:
Dice of ludo;
Ice cube;
Rubix cube;
Square suitcase.
Read and Learn More WBBSE Solutions For Class 10 Maths
Question 2. Let us write the names of surfaces, edges, and vertices of the adjoining cuboidal.
Wbbse Ccircles class 10 exercise 4.2 Solution:
Name of the surfaces:
ABCD;
EFGH;
ADEF;
BCGH;
ABEH;
CDFG.
Name of the edges:
AB,
BC,
CD,
DA,
EF,
FG,
EH,
GH,
AE,
BH,
CG & F
G.
Vertexes are:
A,
B,
C,
D,
E,
F,
G
& H.
Question 3. The length, breadth, and height of a cuboidal room are 5 m, 4 m, and 3 m respectively. Let us write the length of the longest rod which can be kept in that room.
Question 4. The area of one surface of a cube is 64 sq.m., let us calculate the volume of the cube.
Wbbse class 10 maths chapter 4.2 Question 5.
In our Bokultala village, a canal is cut whose breadth is 2 m and depth is 8 dcm. If the total quantity of soil extracted is 240 cubic metres, then let us calculate the total surface area of the cube.
Wbbse class 10 maths chapter 4.2 Question 6.
If the length of the diagonal of a cube is 4√3 cm, then let us calculate the total surface area of the cube.
Wbbse class 10 maths chapter 4.2 Question 7.
The sum of the length of the edges of a cube is 60 cm, let us out the volume of the cube.
Wbbse class 10 maths chapter 4.2 Question 8.
If the sum of the areas of 6 surfaces of a cube is 216 sq. cm, then let us calculate the volume of the cube.
Wbbse class 10 maths chapter 4.2 Question 9.
The volume of a rectangular parallelopiped is 432 sq. cm. If it is converted into two cubes of equal volumes, then let us calculate the length of each edge of each cube.
Wbbse class 10 maths chapter 4.2 Question 10.
Each side of a cube is decreased by 50%. Let us calculate the ratio of the volumes of the original cube and the changed cube.
Wbbse Class 10 Maths Chapter 4 Exercise 4.2 Question 11.
If the ratio of length, breadth and height of a cuboidal box is 3: 2:1 and its volume is 384 cc then let us calculate the total surface area of the box.
Wbbse Class 10 Maths Chapter 4 Exercise 4.2 Question 12.
The inner length, breadth and height of a box of tea are 7.5 dcm and 5.4 dcm respectively, if the weight of the box filled with tea is 52 kg 350gm, but in an empty state, its weight is 3.75 kg then let us write by calculating, the weight of 1 cubic dcm. tea.
Wbbse Class 10 Maths Chapter 4 Exercise 4.2 Question 13.
The length, breadth and weight of a brass plate with a squared base are x cm, 1 mm and 4725 gm respectively, if the weight of 1 cubic dcm of brass is 8.4 gm, then let us write by calculating the value of x.
Wbbse Class 10 Maths Chapter 4 Exercise 4.2 Question 14.
The height of Chandamri Road is to be raised. So, 30 cuboidal holes with equal depth and of equal measure are dug out on both sides of the road and with this soil, my road is elevated. If the length and breadth of each hole are 14 m and 8 m respectively and if the total quantity of soil required to make the road is 2520 cubic metres men let us calculate the depth of each hole.
Wbbse Class 10 Maths Chapter 4 Exercise 4.2 Question 15.
If 64 water-filled buckets of equal measure are taken out from a cubical water-filled tank, then 1/3rd of the water remains in the tank. If the length of one edge of the tank is 1.2 m, then let us calculate and write the quantity of water that can be held in each bucket.
Question 16. If the length, breadth and height of one packet of one gross matchbox are 2.8 dcm and 0.9 dcm respectively, then let us calculate the volume of one match box [one gross 12 dozen]. But if the length and breadth of one matchbox be 5 cm and 3.5 cm, then let us calculate its height of it.
Question 17. Half of a cuboidal water tank with a length of 2.1 m and breadth of 1.5 m is filled with water. If 630 litres of water is poured more into the tank, then let us calculate and write the depth that will be increased.
Question 18. The length and breadth of a rectangular field of the village are 20 m and 15 m respectively. For the construction of pillars in the 4 corners of that field 4 cubic holes having lengths of 4 m are dug out and the soils removed are dispersed on the remaining land. Let us calculate and write the height of the surfaces of the field that is increased by.
Question 19. For elevating 6.5 DCM of low land with a length of 48 m and breadth of 31.5 m, it is decided that the soil will be collected by scooping a hole in a nearby land with a length of 27 m and breadth of 18.2 m, let us calculate the depth of the hole in metre.
Question 20. There were 800 lit, 725 lit and 575 lit kerosene oil in three kerosene oil drums of the house. The oil of these three drums is poured into a cuboidal pot and for this, the depth of oil in drums becomes 7 dams. If the ratio of the length and breadth of the cuboidal pot is 4: 3, then let us write by calculating the length and breadth of the pot. If the depth of the cuboidal pot would be 5 dcm, then let us calculate whether 1620 lit oil can be kept or not in that pot.
Question 21. The daily requirements of water for three families in our three-story flat are 1200 lit, 1050 lit and 950 lit respectively. After fulfilling these requirements in order to put up a tank again and to deposit to store 25% of the required water, only land having a length of 2.5 m and breadth of 1.6 m has been produced. Let us calculate the depth of the tank in metres that should be made. If the breadth of the land would be more by 4 dcm, then let us calculate the depth of the tank to be made.
Question 22. The weight of a wooden box made of wooden planks with a thickness of 5 cm along with its covering is 115.5 kg. But the weight of the box filled with rice is 880.5 kg. The length and breadth of the inner side of the box are 12 dcm and 8.5 dcm respectively and the weight of 1 cubic dcm rice is 1.5 kg. Let us write the inner height of the box after calculation. Let us calculate the total expenditure of colour the outside of the box if the rate is Rs. 1.50 per sq. dcm.
Question 23. The depth of a cuboidal pond with a length of 20 m and breadth of 18.5 m is 3.2 m, let us write by calculating the time required to irrigate the whole water of the pond with a pump having the capacity to irrigate 160-kilo lit water per hour. If that quantity of water is poured on a paddy field with a ridge having a length of 59.2 m and a breadth of 40 m, then what is the depth of water in that land – let us write by calculating it. [1 cubic metre = 1 kilo litre]
West Bengal Board Class 10 Math Book Solution In English Chapter 4 Theorems Related To Circle Exercise 4.2 Multiple-Choice Questions
Question 1. The inner volume of a cuboidal box is 440 cc. and the area of the inner base is 88 sq. cm, the inner height of the box is
1. 4 cm
2. 5 cm
3. 3 cm
4. 6 cm
Answer. The inner volume of the rectangular box = 440 cu. cm.
& inner area of the bottom of the box = 88 sqm.
Height of the box =440/88=5cm————–(b)
Question 2. The length, breadth and height of a cuboidal hole are 40 m, 12 m and 16 m respectively. The number of planks having a height of 5 m breadth of 4 m and thickness of 2 m, can be kept in that hole is
1. 190
2. 192
3. 184
4. 180
Question 3. The surface area of a cube is 256 sq.m, and the volume of the cube is
1. 64 cubic metre
2. 216 cubic metre
3. 256 cubic metre
4. 512 cubic metre
Question 4. The ratio of the volumes of the two cubes is 1: 27, and the ratio of the total surface areas of the two cubes is
1. 1:3
2. 1:8
3. 1:9
4. 1: 18
Question 5. If the total surface area of a cube is s sq. unit and the length of the diagonal is d unit, then the relation between s and d is
1. s = 6d2
2. 3s = 7d
3. S3 = d2
4. d2 = s/2
Chapter 4 Theorems Related To Circle Exercise 4.2 True or False
1. If the length of each edge of a cube is twice of that 1st cube then the volume of this cube is 4 times more than that of the 1st cube.
False
2. In the rainy season, the height of rainfall in 2 hectares of land is 5 cm, and the volume of rainwater is 1000 cubic metres.
True
Chapter 4 Theorems Related To Circle Exercise 4.2 Fill In The Blanks.
1. The number of diagonals of a cuboid is No. of diagonals = 4
2. The length of the diagonal on the surface of a cube = √2 x the length of one edge.
