Area & Volume

  1. Question: The capacity of a tank of dimension `(8 m xx 6 m xx 2.5 m),` is :

    A
    `120 litres`

    B
    ``1200 litres`

    C
    `12000 litres`

    D
    `120000 litres`

    Note: Not available
    1. Report

  2. Question: A rectangular box is `2` m long and `3.5` m wide. How many cubic metres of sand are needed to fill the box upto a depth of `12` cm ?

    A
    `84`

    B
    `8.4`

    C
    `0.84`

    D
    `0.084`

    Note: Volume` = (2 xx 7/2 xx 12/100) ` `= 0.84 cu.m.`
    1. Report

  3. Question: A beam `9` m long, `40` cm wide and `20` cm high is made up of iron which weighs `50` kg per cubic metre. The wight of the beam is :

    A
    `56 kg`

    B
    `48 kg`

    C
    `36 kg`

    D
    `27 kg`

    Note: Volume `= (9 xx 40/100 xx 20/100) cu.m` `= 18/25 cu.m`. :. Wight` = (18/25 xx 50) kg` `= 36 kg`.
    1. Report

  4. Question: The length of the longest rod that can be placed in a room `30` m long,`24` m broad and `18` m high, is :

    A
    `30 m`

    B
    `15√2 m`

    C
    `30√2 m`

    D
    `60 m`

    Note: Length of longest rod = Length of diagonal `= √1^2 + b^2 + h^2` `= √(30)^2 + (24)^2 + (18)^2` `= √1800` `= 30√2 m`.
    1. Report

  5. Question: The maximum length of a pencil that can be kept is a rectangular box of dimension `8 cm xx 6 cm xx 2 cm, `is :

    A
    `2√13 cm`

    B
    `2√14 cm`

    C
    `2√26 m`

    D
    `10√2 cm`

    Note: Not available
    1. Report

  6. Question: A wooden box of dimension `8 m xx 7 m xx 6 m` is to carry rectangular boxes of dimensions `8 cm xx 7 cm xx 6 cm`. The maximum number of boxes that can be carried in the wooden box, is :

    A
    `9800000`

    B
    `7500000`

    C
    `1000000`

    D
    `1200000`

    Note: Number of boxes `= ((800 xx 700 xx 600)/(8 xx 7 xx 6))` `= 1000000`
    1. Report

  7. Question: A will `8` m long, `6` m high and `22.5` cm thick is made up of bricks, each measuring `(25 cm xx 11.25 cm xx 6 cm)`. The number of bricks required is :

    A
    `6000`

    B
    `5600`

    C
    `6400`

    D
    `7200`

    Note: Number of bricks `= ((800 xx 600 xx 22.5)/(25 xx 11.25 xx 6))` `= 6400`.
    1. Report

  8. Question: The dimension of bricks are `24 cm xx 12 cm xx 8 cm`. How many bricks will be required to build a wall `24` m long, `8` m high and `60` cm thick, if `10%` of the wall is filled with mortar ?

    A
    `40000`

    B
    `20000`

    C
    `50000`

    D
    `45000`

    Note: Volume of wall `= (2400 xx 800 xx 60) cu. cm`. Volume of wall (apart from mortar) `= (/100 xx 2400 xx 800 xx 60) cu.m`. Volume of `1` bricks `= (24 xx 12 xx 8) cu. cm.` :. Number of bricks required `= (90/10 xx 2400 xx 800 xx 60 xx 1/(24 xx 12 xx 8)` `= 45000`.
    1. Report

  9. Question: A rectangular block `6` cm by `12` cm by `15` cm is cut up into exact number of equal cubes. The least possible number of cubes will be :

    A
    `6`

    B
    `11`

    C
    `33`

    D
    `40`

    Note: Volume of block `= (6 xx 12 xx 15) cu. cm` `= 1080 cu. cm`. The side of largest cube = H.C.F.of `6 cm, 12 cm, 15 cm = 3 cm`. Volume of this cube `= (3 xx 3 xx 3) cm^3 = 27 cm^3` Number of cubes `= (1080/27)` `= 40`.
    1. Report

  10. Question: The breadth of a room is twice its height and half its length. The volume of the room is `512 cu.m. The length of the room is :

    A
    `12 m`

    B
    `16 m`

    C
    `32 m`

    D
    `20 m`

    Note: Suppose height = x metres . Then, breadth = 2x metres and length = 4x metres. `:. x xx 2x xx 4x = 512` `or x^3 = 64` `or x = 4`. `:. Length = 4x = 16 m.
    1. Report
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