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Calculate the length of the body diagonal of a cube whose each side measures 21 units.

Write your answer up to two decimals.

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Important Questions on Rectangular Parallelopiped or Cuboid and Cube

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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
Two cubes each of volume 64 cm3 are joined end to end. Then the surface area of the resulting cuboid is
EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube

The edge of a cube is 8 cm .What is the total surface area of the cube?

EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
The length, breadth and height of a cuboid are 18 cm, 24 cm and 4 cm respectively. The volume of cube is equal to the volume of given cuboid. The side of the cube is:
MEDIUM
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
The length, breadth and height of a cuboidal room be a unit, b unit, and cunit respectively and a+b+c=25, ab+bc+ca=240.5, then find the length of the longest rod to be kept inside the room.
MEDIUM
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
Three cubes with edges 6 cm each are joined end to form a cuboid. The total surface area of the cuboid is:
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
If the side of a cube is a unit and the diagonal of the cube is d unit then the relation between a and d will be.
EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
The total surface area of a cube is 864 cm2. What is its volume (in cm3)?
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
Two cubes each of 15 cm sides are joined end to end. Find the total surface area of the resulting cuboid.
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
A solid cube is cut into three cuboids of same volumes. What is the ratio of the surface area of the cube to the sum of the surface areas of any two of the cuboids so formed?
EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
The liquid in a container is sufficient to paint an area of 11.28 m2. How many boxes of dimension 30 cm×25 cm×12 cm can be painted with the liquid in this container?
EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube

 If two cubes of the length of each side 26cm are placed side by side, then the length of the diagonal of the cuboid so produced is 

EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
Find the height of a cube whose volume is 330 cm3 and base area is 15 cm2.
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is 564 cm2. Then the possible values of the sum of their volumes are
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
2 cubes each of volume 64 cm3 are joined end to end. The surface area of the resulting cuboid is : 
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube

The total surface area of a cube is 216 square metre. Find the side of the cube.

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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
A solid cube having volume 46656 cm3 is cut into 27 cubes of equal volume. The surface area of the smaller cubes is:
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Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
A room has floor size of 15×6 sq cm. What is the height of the room, if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls ?
EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
A cuboid of size 100 cm×80 cm×60 cm cut into eight identical parts by three cuts. What is the total surface are (in cm2 )of all the eight parts?
EASY
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
The length, breadth and height of a cuboidal box are in ratio 7:5:3 and its whole surface area is 27832 cm3. Its volume is:
HARD
Mathematics>Geometry>Rectangular Parallelopiped or Cuboid and Cube>Cube
Consider a cuboid all of whose edges are integers and whose base is square. Suppose the sum of all its edges is numerically equal to the sum of the areas of all its six faces. Then the sum of all its edges is.