Maths-
General
Easy

Question

What is the length of the longest pole that can be fit in the room of dimensions 5m x 10m x 5m

  1. 12.25
  2. 11.95
  3. 12.85
  4. 11.85

hintHint:

 Diagonal of cubesquare root of 3 × side = square root of 3a unit

The correct answer is: 12.25


    The dimensions of the room are
    Length = 5m
    Breadth = 10m
    Height = 5m
    We know that
    Length of the longest pole = length of diagonal = square root of open parentheses l squared plus b squared plus h squared close parentheses end root
    By substituting the values
    Length of the longest pole = square root of open parentheses 5 squared plus 10 squared plus 5 squared close parentheses end root
    So we get
    Length of the longest pole = square root of blank end root left parenthesis 25 plus 100 plus 25 right parenthesis
    By addition
    Length of the longest pole = square root of 150 equals 12.25 straight m
    Therefore, the length of the longest pole that can be put in the room is 12.25m.
    The correct option is a)12.25.

    Related Questions to study

    General
    Maths-

    The square on the diagonal of a cube has an area of 192 cm2. Find the T.S.A of the cube.

    The square on the diagonal of a cube has an area of 192 cm2. Find the T.S.A of the cube.

    Maths-General
    General
    Maths-

    Two adjacent sides of the right-angle pf a right-angled triangle are 3 cm and 4 cm. This triangle is revolved around the side of length 3 cm. Find the volume of the cone thus formed. Find also the slant height of the cone (π =3.14).

    Two adjacent sides of the right-angle pf a right-angled triangle are 3 cm and 4 cm. This triangle is revolved around the side of length 3 cm. Find the volume of the cone thus formed. Find also the slant height of the cone (π =3.14).

    Maths-General
    General
    Maths-

    Write the factored form of the given expression.
    49 x squared minus 25

    Write the factored form of the given expression.
    49 x squared minus 25

    Maths-General
    parallel
    General
    Maths-

    The volume of a cone is 7.8 cm3 and the area of its base is 3.9 cm2, find its height?

    The volume of a cone is 7.8 cm3 and the area of its base is 3.9 cm2, find its height?

    Maths-General
    General
    Maths-

    Dimensions of the cuboid are in the ratio of 5 : 4: 2 and the whole surface area is 684 cm2, find the volume of the cuboid?

    Dimensions of the cuboid are in the ratio of 5 : 4: 2 and the whole surface area is 684 cm2, find the volume of the cuboid?

    Maths-General
    General
    Maths-

    Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume

    Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume

    Maths-General
    parallel
    General
    Maths-

    The area of a base of a cuboid is 48 cm2 and its height and length of the diagonal are 3 cm and 13 cm respectively. Calculate the length and width of the box?

    The area of a base of a cuboid is 48 cm2 and its height and length of the diagonal are 3 cm and 13 cm respectively. Calculate the length and width of the box?

    Maths-General
    General
    Maths-

    Internal length, height, and breadth of an open box are 95 cm, 82 cm, and 75 cm. Thickness of wood is given to be 2.5 cm, calculate the cost of painting outside the box as Rs 1 per dm2

    Internal length, height, and breadth of an open box are 95 cm, 82 cm, and 75 cm. Thickness of wood is given to be 2.5 cm, calculate the cost of painting outside the box as Rs 1 per dm2

    Maths-General
    General
    Maths-

    The total surface area of a cube is 846 cm2. Find the height, breadth, and length if the dimensions are in the ratio of 3:4:5

    The total surface area of a cube is 846 cm2. Find the height, breadth, and length if the dimensions are in the ratio of 3:4:5

    Maths-General
    parallel
    General
    Maths-

    A cube of 11 cm edge is immersed completely in a rectangular vessel containing the liquid. If the dimensions of the base of the vessel are 12 cm and 15 cm, calculate the rise in the water level?

    A cube of 11 cm edge is immersed completely in a rectangular vessel containing the liquid. If the dimensions of the base of the vessel are 12 cm and 15 cm, calculate the rise in the water level?

    Maths-General
    General
    Maths-

    The circumference of the base of a 12 cm high wooden solid cone is 44 cm. Find the volume

    The circumference of the base of a 12 cm high wooden solid cone is 44 cm. Find the volume

    Maths-General
    General
    Maths-

    Given length, breadth, and height of a cuboid are 15 cm, 37.5 cm, and 48 cm. Find the cube edge whose given volume is equal to the volume of this cuboid. Also, calculate the length of the diagonal to the nearest natural number.

    Given length, breadth, and height of a cuboid are 15 cm, 37.5 cm, and 48 cm. Find the cube edge whose given volume is equal to the volume of this cuboid. Also, calculate the length of the diagonal to the nearest natural number.

    Maths-General
    parallel
    General
    Maths-

    Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.
    Use 3.14 for pi.

    Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.
    Use 3.14 for pi.

    Maths-General
    General
    Maths-

    Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

    Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

    Maths-General
    General
    Maths-

    Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

    Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.