Given: volume of reservoir = 108 m³ Rate of pouring water into cuboidal reservoir = 60 liters/minute = 60/100m³/minute [∵1l=1/100 m³] = 60x60/1000 m³/hour ∴ 1 m³ water filled in reservoir will take = 1000x60x60 hours ∴ 108 m³ water filled in reservoir will take = 108/1000/60x60 hours = 30 hours It wRead more
Given: volume of reservoir = 108 m³
Rate of pouring water into cuboidal reservoir = 60 liters/minute
= 60/100m³/minute [∵1l=1/100 m³]
= 60×60/1000 m³/hour
∴ 1 m³ water filled in reservoir will take = 1000x60x60 hours
∴ 108 m³ water filled in reservoir will take = 108/1000/60×60 hours = 30 hours
It will take 30 hours to fill the reservoir.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
(i) Let the edge of cube be l. Since, Surface area of the cube (A)=6l² When edge of cube is doubled, then Surface area of the cube (A’)= 6(2l)² = 6x4l² = 4x6l² A’ = 4 x A, Hence, the surface area will increase four times. (ii) Volume of cube (V) = l³ When edge of cube is doubled, then volume of cubeRead more
(i) Let the edge of cube be l.
Since, Surface area of the cube (A)=6l²
When edge of cube is doubled, then
Surface area of the cube (A’)= 6(2l)² = 6x4l² = 4x6l²
A’ = 4 x A, Hence, the surface area will increase four times.
(ii) Volume of cube (V) = l³
When edge of cube is doubled, then volume of cube (V’)=(2l)³=8l³
V’ = 8 x V, Hence, the volume will increase 8 times.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
Given: Radius of cylindrical tank (r) = 1.5 m And Height of cylindrical tank (h) = 7 m Volume of cylindrical tank = πr²h = 22/7x1.5x1.5x7=49.5 cm³ = 49.5 x 1000 liters [∵1 m³ = 1000 liters] = 49500 liters Hence, the required quantity of milk is 49500 liters. Class 8 Maths Chapter 11 Exercise 11.4 SoRead more
Given: Radius of cylindrical tank (r) = 1.5 m
And Height of cylindrical tank (h) = 7 m
Volume of cylindrical tank = πr²h
= 22/7×1.5×1.5×7=49.5 cm³
= 49.5 x 1000 liters [∵1 m³ = 1000 liters]
= 49500 liters
Hence, the required quantity of milk is 49500 liters.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
Given: Volume of cylinder = 1.54 m³ and Diameter of cylinder = 140cm ∴ Radius (r) = d/2=140/2=70cm Volume of cylinder = πr²h ⇒ 1.54=22/7x0.7x0.7xh ⇒ h= 1.54x7/22x0.7x0.7 ⇒ h=154x7x10x10/22x7x7x100=1m Hence, the height of the cylinder is 1 m. Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video fRead more
Given: Volume of cylinder = 1.54 m³ and Diameter of cylinder = 140cm
∴ Radius (r) = d/2=140/2=70cm
Volume of cylinder = πr²h
⇒ 1.54=22/7×0.7×0.7xh ⇒ h= 1.54×7/22×0.7×0.7
⇒ h=154x7x10x10/22x7x7x100=1m
Hence, the height of the cylinder is 1 m.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
Given: Length of cuboid (l) = 60 cm, Breadth of cuboid (b) = 54 cm and Height of cuboid (h) = 30 cm We know that, Volume of cuboid = lxbxh = 60 x 54 x 30 cm³ And Volume of cube = (Side)³ = 6x6x6cm³ ∴ Number of small cubes =Volume of cuboid/Volume of cube = 60x54x30/6x6x6=450 Hence, the required cubeRead more
Given: Length of cuboid (l) = 60 cm, Breadth of cuboid (b) = 54 cm and
Height of cuboid (h) = 30 cm
We know that, Volume of cuboid = lxbxh = 60 x 54 x 30 cm³
And Volume of cube = (Side)³ = 6x6x6cm³
∴ Number of small cubes =Volume of cuboid/Volume of cube = 60x54x30/6x6x6=450
Hence, the required cubes are 450.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108 m³, find the number of hours it will take to fill the reservoir.
Given: volume of reservoir = 108 m³ Rate of pouring water into cuboidal reservoir = 60 liters/minute = 60/100m³/minute [∵1l=1/100 m³] = 60x60/1000 m³/hour ∴ 1 m³ water filled in reservoir will take = 1000x60x60 hours ∴ 108 m³ water filled in reservoir will take = 108/1000/60x60 hours = 30 hours It wRead more
Given: volume of reservoir = 108 m³
Rate of pouring water into cuboidal reservoir = 60 liters/minute
= 60/100m³/minute [∵1l=1/100 m³]
= 60×60/1000 m³/hour
∴ 1 m³ water filled in reservoir will take = 1000x60x60 hours
∴ 108 m³ water filled in reservoir will take = 108/1000/60×60 hours = 30 hours
It will take 30 hours to fill the reservoir.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/
If each edge of a cube is doubled, (i) how many times will its surface area increase? (ii) how many times will its volume increase?
(i) Let the edge of cube be l. Since, Surface area of the cube (A)=6l² When edge of cube is doubled, then Surface area of the cube (A’)= 6(2l)² = 6x4l² = 4x6l² A’ = 4 x A, Hence, the surface area will increase four times. (ii) Volume of cube (V) = l³ When edge of cube is doubled, then volume of cubeRead more
(i) Let the edge of cube be l.
Since, Surface area of the cube (A)=6l²
When edge of cube is doubled, then
Surface area of the cube (A’)= 6(2l)² = 6x4l² = 4x6l²
A’ = 4 x A, Hence, the surface area will increase four times.
(ii) Volume of cube (V) = l³
When edge of cube is doubled, then volume of cube (V’)=(2l)³=8l³
V’ = 8 x V, Hence, the volume will increase 8 times.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/
A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in liters that can be stored in the tank.
Given: Radius of cylindrical tank (r) = 1.5 m And Height of cylindrical tank (h) = 7 m Volume of cylindrical tank = πr²h = 22/7x1.5x1.5x7=49.5 cm³ = 49.5 x 1000 liters [∵1 m³ = 1000 liters] = 49500 liters Hence, the required quantity of milk is 49500 liters. Class 8 Maths Chapter 11 Exercise 11.4 SoRead more
Given: Radius of cylindrical tank (r) = 1.5 m
And Height of cylindrical tank (h) = 7 m
Volume of cylindrical tank = πr²h
= 22/7×1.5×1.5×7=49.5 cm³
= 49.5 x 1000 liters [∵1 m³ = 1000 liters]
= 49500 liters
Hence, the required quantity of milk is 49500 liters.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/
Find the height of the cylinder whose volume if 1.54 m3 and diameter of the base is 140
Given: Volume of cylinder = 1.54 m³ and Diameter of cylinder = 140cm ∴ Radius (r) = d/2=140/2=70cm Volume of cylinder = πr²h ⇒ 1.54=22/7x0.7x0.7xh ⇒ h= 1.54x7/22x0.7x0.7 ⇒ h=154x7x10x10/22x7x7x100=1m Hence, the height of the cylinder is 1 m. Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video fRead more
Given: Volume of cylinder = 1.54 m³ and Diameter of cylinder = 140cm
∴ Radius (r) = d/2=140/2=70cm
Volume of cylinder = πr²h
⇒ 1.54=22/7×0.7×0.7xh ⇒ h= 1.54×7/22×0.7×0.7
⇒ h=154x7x10x10/22x7x7x100=1m
Hence, the height of the cylinder is 1 m.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/
A cuboid is of dimensions 60 cm x 54 cm x 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?
Given: Length of cuboid (l) = 60 cm, Breadth of cuboid (b) = 54 cm and Height of cuboid (h) = 30 cm We know that, Volume of cuboid = lxbxh = 60 x 54 x 30 cm³ And Volume of cube = (Side)³ = 6x6x6cm³ ∴ Number of small cubes =Volume of cuboid/Volume of cube = 60x54x30/6x6x6=450 Hence, the required cubeRead more
Given: Length of cuboid (l) = 60 cm, Breadth of cuboid (b) = 54 cm and
Height of cuboid (h) = 30 cm
We know that, Volume of cuboid = lxbxh = 60 x 54 x 30 cm³
And Volume of cube = (Side)³ = 6x6x6cm³
∴ Number of small cubes =Volume of cuboid/Volume of cube = 60x54x30/6x6x6=450
Hence, the required cubes are 450.
Class 8 Maths Chapter 11 Exercise 11.4 Solution in Video
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/