MEDIUM
Earn 100

Find the length of the face diagonal of a cube when the side measures 6 units. Use the face diagonal formula of a cube. 

Important Questions on Mensuration

EASY
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
What is the length of the longest rod which can be placed in a cube of total surface area 216 cm3?
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
How many bricks each measuring 64 cm×11.25 cm×6 cm, will be needed to build a wall measuring 8 m×3 m×22.5 m?
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is 88 m2, then the dimensions will be
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
Let x, y, z be the length, breadth, height of a cuboid. If its volume is 400 cubic cm and total surface area is 340 square cm, then what is x-1+y-1+z-1 equal to?
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of 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>Mensuration>Total Surface Area of Cube and Cuboid
A rectangular metal sheet is of length 24 cm and breadth 18 cm from each of its corners a square of side x cm is cut off and an open box is made of the remaining sheet. If the volume of the box is 640 cubic cm, then What is the value of x ?
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid

In the following figure, each quadrilateral is a square. The value of surface area of the following figure will be

Question Image 

MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of 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:
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of 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>Mensuration>Total Surface Area of 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
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
The length of a room is 2116 times its breadth and breadth is 43 times its height. If H is the height of the room and L is the longest rod that can be placed in the room, then which one of the following is correct?
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid

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

HARD
Mathematics>Geometry>Mensuration>Total Surface Area of 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.
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
A closed box is built of wood of uniform thickness. Its external dimensions are 12 cm, 10 cm and 8 cm. If the inner surface area is 376 sq.cm, then what is the thickness of the wood?
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of 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:
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of 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?
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of 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?
MEDIUM
Mathematics>Geometry>Mensuration>Total Surface Area of 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>Mensuration>Total Surface Area of Cube and Cuboid
The total surface area of a cube is 864 cm2. What is its volume (in cm3)?
EASY
Mathematics>Geometry>Mensuration>Total Surface Area of Cube and Cuboid
Find the height of a cube whose volume is 330 cm3 and base area is 15 cm2.