Home
Class 14
MATHS
The following question has three stateme...

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the ratio of the volume of the cube to the volume of the cuboid?
I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is 3:2:1.
II. The Total Surface Area of the cube is `"726 cm"^2`.
III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8 cm.

A

Any two of the statements

B

All the statements

C

II and III together

D

I and II together

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The total surface area of a cuboid is 392cm^(2) and the length of the cuboid is 12cm. If the ratio of its breadth and its height is 8:5, then what is the volume of the cuboid?

The total surface area of a cuboid is 392cm^(2) and the length of the uboid is 12cm. If the ratio of its breadth and height is 8:5 then what is the volume?

Knowledge Check

  • The length, breadth and height of a cuboid are 15m, 6m and 5dm respectively. The lateral surface area of the cuboid is

    A
    `45 m^(2)`
    B
    `21 m^(2)`
    C
    `201 m^(2)`
    D
    `90 m^(2)`
  • The sum of length, breadth and height of a cuboid is 12 cm long and its diagonalís 8 cm. The total surface area of the cuboid is :

    A
    88 sq cm
    B
    85 sq cm
    C
    90 sq cm
    D
    80 sq cm
  • The total surface area of a cuboid is 392 cm^(2) and the length of the cuboid is 12 cm . If the ratio of its breadth and its height is 8:5 , then what is the volume of the cuboid ?

    A
    `480 cm^(3)`
    B
    `1920 cm^(3)`
    C
    `3840 cm^(3)`
    D
    `20 cm^(3)`
  • Similar Questions

    Explore conceptually related problems

    The sum of the volume of three cubes is equal to 3 xx the volume of a cuboid.Given that the edges of the three cubes are equal to the length,breadth and height of cuboid.Prove cuboid is itself a cube.

    The length, breadth and height of the cuboid are 10 m, 7 m and 5 m respectively the volume of the cuboid is :

    The volume of a cuboid is 3840 cm^(3) and the length of the cuboid is 20 cm . If the ratio of its breadth and its height is 4:3 , then the total surface area of the cuboid is _________.

    The length, breadth and height of a.cuboid are in the ratio of 6:5:4. If the total surface area is 5328 cm", then the length, breadth and height of the cuboid will be

    Total surface area of a cuboid is 846 cm^2 . If ratio of its length, breadth and height is 5.4:3, then find the lenght, breadth and height of cuboid. (In cm.)