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Find the lateral surface area and total surface area of the given right prism.

Important Questions on Surface Areas and Volumes

EASY

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

What is the length of the longest rod which can be placed in a cube of total surface area

216 {cm}^{3}

EASY

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

How many bricks each measuring

64 cm \times 11.25 cm \times 6 cm

, will be needed to build a wall measuring

8 m \times 3 m \times 22.5 m

MEDIUM

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

The dimensions of a cuboid are in the ratio of

1 : 2 : 3

and its total surface area is

88 m^{2}

, then the dimensions will be

EASY

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a 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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

The length of a room is

\frac{21}{16}

times its breadth and breadth is

\frac{4}{3}

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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

HARD

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a 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.

MEDIUM

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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:

EASY

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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?

MEDIUM

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a 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?

MEDIUM

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

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>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

The total surface area of a cube is

864 {cm}^{2}

. What is its volume (in

{cm}^{3}

EASY

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Cuboid and a Cube

Find the height of a cube whose volume is

330 {cm}^{3}

and base area is

15 {cm}^{2}

Find the lateral surface area and total surface area of the given right prism.

Important Questions on Surface Areas and Volumes

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