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Find the length of the diagonal of a cuboid with dimensions length 6 m, breadth 5 m and height 4 m.

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Important Questions on Surface Area and Volume of Solids

EASY
Mathematics>Geometry>Surface Area and Volume of Solids>Cube and Cuboid
Two cubes each of volume 64 cm3 are joined end to end. Then the surface area of the resulting cuboid is
EASY
Mathematics>Geometry>Surface Area and Volume of Solids>Cube and Cuboid

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

EASY
Mathematics>Geometry>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
The total surface area of a cube is 864 cm2. What is its volume (in cm3)?
MEDIUM
Mathematics>Geometry>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid

 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>Surface Area and Volume of Solids>Cube and Cuboid
Find the height of a cube whose volume is 330 cm3 and base area is 15 cm2.
MEDIUM
Mathematics>Geometry>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid

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

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Mathematics>Geometry>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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>Surface Area and Volume of Solids>Cube and Cuboid
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.