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Suman made a cardboard box in the form of a cube without lid. The total surface area of this box was $180 {cm}^{2}$ . If the dimension of the box is $k cm$ , then find $k$ ?

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Important Questions on Mensuration

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

Two cubes each of volume

64 {cm}^{3}

are joined end to end. Then the surface area of the resulting cuboid is

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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>Surface Area of Cube, Cuboid and Cylinder

The length, breadth and height of a cuboidal room be

a

unit,

b

unit, and

c

unit respectively and

a + b + c = 25, a b + b c + c a = 240.5

, then find the length of the longest rod to be kept inside the room.

MEDIUM

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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>Surface Area of Cube, Cuboid and Cylinder

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>Mensuration>Surface Area of Cube, Cuboid and Cylinder

The total surface area of a cube is

864 {cm}^{2}

. What is its volume (in

{cm}^{3}

MEDIUM

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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>Mensuration>Surface Area of Cube, Cuboid and Cylinder

The liquid in a container is sufficient to paint an area of

11.28 m^{2}

. How many boxes of dimension

30 cm \times 25 cm \times 12 cm

can be painted with the liquid in this container?

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

If two cubes of the length of each side $2 \sqrt{6} c m$ are placed side by side, then the length of the diagonal of the cuboid so produced is

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

Find the height of a cube whose volume is

330 {cm}^{3}

and base area is

15 {cm}^{2}

MEDIUM

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is

564 {cm}^{2}

. Then the possible values of the sum of their volumes are

MEDIUM

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

2

cubes each of volume

64 {cm}^{3}

are joined end to end. The surface area of the resulting cuboid is :

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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

MEDIUM

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

A solid cube having volume

46656 {cm}^{3}

is cut into

27

cubes of equal volume. The surface area of the smaller cubes is:

MEDIUM

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

A room has floor size of

15 \times 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>Surface Area of Cube, Cuboid and Cylinder

A cuboid of size

100 cm \times 80 cm \times 60 cm

cut into eight identical parts by three cuts. What is the total surface are (in

{cm}^{2}

)of all the eight parts?

EASY

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

The length, breadth and height of a cuboidal box are in ratio

7 : 5 : 3

and its whole surface area is

27832 {cm}^{3}

. Its volume is:

HARD

Mathematics>Geometry>Mensuration>Surface Area of Cube, Cuboid and Cylinder

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.

Suman made a cardboard box in the form of a cube without lid. The total surface area of this box was 180 cm2. If the dimension of the box is k cm, then find k?

Important Questions on Mensuration

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Suman made a cardboard box in the form of a cube without lid. The total surface area of this box was $180 {cm}^{2}$ . If the dimension of the box is $k cm$ , then find $k$ ?