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Prabhu 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

If l, b, h, S and V are length, breadth, height, surface area and volume respectively of a cuboid, prove that: 1/V = 2/S(1/l + 1/b + 1/h)?

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Ram Mohan replied | 02/12/2016

If l, b, h, S and V are length, breadth, height, surface area and volume respectively of a cuboid, Then, V = lbh
Let us take the relation S = 2 (lb +bh + lh). Now dividing both sides with V * S, we get:-
1/V = 2 ( lb + bh = lh )/ (V * S) = 2 ( lb + bh = lh )/ (lbh * S) ...... ( Substituting lbh for V)
==> 1/V = =2 [(lb/lbh )+( bh/lbh ) + (lh/ibh )] / S
==> 1/V...  more»
If l, b, h, S and V are length, breadth, height, surface area and volume respectively of a cuboid, Then, V = lbh
Let us take the relation S = 2 (lb +bh + lh). Now dividing both sides with V * S, we get:-
1/V = 2 ( lb + bh = lh )/ (V * S) = 2 ( lb + bh = lh )/ (lbh * S) ...... ( Substituting lbh for V)
==> 1/V = =2 [(lb/lbh )+( bh/lbh ) + (lh/ibh )] / S
==> 1/V = 2/S(1/l + 1/b + 1/h) proved. «less

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Ram Mohan replied | 02/12/2016

If l, b, h, S and V are length, breadth, height, surface area and volume respectively of a cuboid, Then
We have S = 2( lb + bh + lh ) and V = lbh
Let us take the relation S = 2(lb +bh + lh).
Now dividing both sides with V * S, we get
1/V = 2 ( lb + bh = lh )/ (V * S) = 2 ( lb + bh +lh )/ (lbh * S) ...... ( after Substituting lbh for V)
==> 1/V = 2 [(lb/lbh...  more»
If l, b, h, S and V are length, breadth, height, surface area and volume respectively of a cuboid, Then
We have S = 2( lb + bh + lh ) and V = lbh
Let us take the relation S = 2(lb +bh + lh).
Now dividing both sides with V * S, we get
1/V = 2 ( lb + bh = lh )/ (V * S) = 2 ( lb + bh +lh )/ (lbh * S) ...... ( after Substituting lbh for V)
==> 1/V = 2 [(lb/lbh )+( bh/lbh ) + (lh/lbh )] / S
==> 1/V = 2/S(1/l + 1/b + 1/h) proved. «less

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M

Melvin 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

A solid cylinder has a total surface area of 213 sq. cm. Its curved surface area 2/3 of the total surface area. Find the volume of the cylinder?

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Tapas replied | 30/11/2016

Please see the attachment:

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Answer

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A

Ankita 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

The dimensions of a cuboid are in the ratio 1 : 2 : 3 and its total surface area is 88 sq. m. Find the dimensions?

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Sarvajeet replied | 23/11/2016

2, 4, 6.

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Answer

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G

Girija Sankar 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the longest pole length that can be put in a room of 10 m * 10 m * 5 m dimensions?

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Tapas replied | 30/11/2016

The longest pole has the length equal to the principal diagonal of the rectangular room (box).
So, the length = Sq. root ( 10^2 + 10^2 + 5^2) = sq. root (225) = 15 m
Answer: The longest pole length is 15 m.

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S

Saurabh replied | 01/12/2016

15 m

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Answer

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C

Chiranjib 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

A circus tent consists of cylindrical base surmounted by a conical roof. The radius of the cylinder is 20 m. The height of the tent is 63 m and that of the cone is 21 m. Find the volume of the tent and the area of the canvas used for making it?

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Tapas replied | 30/11/2016

Please see the attachment.

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Answer

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V

Vivek 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

The volume of two hemispheres are in the ratio 8: 27. Find the ratio of their radii?

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Sarvajeet replied | 23/11/2016

2 : 3.

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Answer

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P

Pankaj 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the volume of a cube whose total surface area is 486 sq. cm?

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Tapas replied | 30/11/2016

Please see the attachment.

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Answer

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S

Sajini 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

The length of a cinema hall is 20 m and breadth is 16 m. the sum of the areas of floor and flat roof is equal to the area of four walls. Find the height and volume of the hall?

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Tapas replied | 30/11/2016

Please see the attachment.

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Answer

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A

Ajit 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the volume of a sphere whose radius is 2.1 cm?

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Suyash replied | 19/11/2016

Volume = 4/3 ?r^3
= 4/3 ? 2.1^3
= 388.08 cc

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Answer

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T

Twinkle 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

A closed cuboid water tank is made of steel sheet that is 2.5 cm thick. The outer dimensions of the tank are 2.15 m * 1.5 m * 1.1 m. find the capacity of the tank and the volume of steel used to construct it?

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Tapas replied | 30/11/2016

Please see the attachment.

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Answer

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M

Mukund 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

What is the formula for volume of a sphere?

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Tapas replied | 01/12/2016

Please see the attachment.

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Answer

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S

Sumimolss 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

What is the formula for volume of a cuboid?

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Chandan replied | 22/11/2016

Volume of a cuboid = (length × breadth × height) cubic units.

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Answer

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P

Pinaki 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the volume of a sphere whose radius is 6 cm?

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Tapas replied | 01/12/2016

Please see the attachment.

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Answer

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M

Mukesh 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is to be filled in a cylindrical bottle of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

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Answer

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D

Deepak 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?

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Answer

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B

Bhakti 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

What is the volumetric formula for right circular cone?

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Answer

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K

Kummara 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

A 3 cm thick iron open box is made whose external dimensions are 78 cm * 54 cm * 12 cm. Find the weight of the box if its density is 60 gm/ cubic cm?

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Answer

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E

Everest 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Two cubes each of volume 64 cubic cm are joined end to end. Find the total volume of the resulting cuboid?

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Answer

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V

Vishal 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?

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Answer

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P

P 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the volume of a sphere of radius 5.6 cm?

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Answer

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S

Surabhi 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

What is the formula for volume of cylinder?

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Answer

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R

Rakesh 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

How many metal boxes of size 8 cm * 5 cm * can be packed in a cardboard box of size 40 cm * 40 cm * 21 cm?

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P

Pradeep 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

A rectangular piece of paper of width 20 cm and length 44 cm is rolled along its width to form a cylinder. What is the volume of the cylinder so formed?

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I

Irfan 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the volume of a cone whose height is 28 cm and diameter is 42 cm?

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J

Jasmin 03/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

What is the difference between the volume and surface area with respect to menstruation in mathematics?

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Answer

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