Home
Class 9
MATHS
In a box whose dimensions are 12cm xx 4c...

In a box whose dimensions are `12cm xx 4cm xx 3cm`, how long stick can be placed ?

Text Solution

Verified by Experts

The longest stick that can be placed inside the box is equal to the diagonal of the box.
Diagonal `=sqrt(l^(2)+b^(2)+h^(2))`
where l = length, b = breadth and h = height.
`therefore` The required length of the stick `=sqrt(12^(2)+4^(2)+3^(2))cm`
`= sqrt(144+16+9)cm`
`sqrt(169)=13 cm`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|24 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 13a|30 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|12 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Type Question)|8 Videos

Similar Questions

Explore conceptually related problems

A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24\ c m\ xx\ 12\ c m\ xx\ 8\ c m , how many bricks would be required?

A cuboid is of dimensions 60cm xx 54cm xx 30cm. How many small cubes with side 6 cm can be placed in the given cuboid?

The internal dimensions of a rectangular box are 12 cm xx x cm xx 9 cm . If the length of longest rod that can be placed in this box is 17 cm, find x.

The internal dimensions of a rectangular box are 12cm xx x cm xx 9cm . If the length of the longest rod that can be placed in this box is 17cm, find x.

Metal sphere, each of radius 2 cm , are packed into a rectangular box of internal dimension 16 cm xx 8 cm xx 8 cm . When 16 spheres are packed the box is filled with preservative liquid .Find the volume of this liquid. Give your answer to the nearest integer. [ use pi = 3.14 ].

Metal sphere, each of radius 2 cm, are packed into a rectangular box of internal dimension 16 cm xx 8 cm xx 8 cm . When 16 spheres are packed the box is filled with presrvative liquied .Find the volume of this liquid. Give your answer to the nerest interger. [ use pi = 3.14 ].

A tea packet has measures 12 cm xx 12 cm xx 8 cm . How many tea packets can be put in a packing box of measure 48 cm xx 36 cm xx 0.24 m?

A cube of edge 6 cm and a cuboid with dimensions 4 cm xx x cm xx 15 cm are equals in volume . Find : (i) the value of x (ii) total surface area of the cuboid (iii) total surface area of the cube. Which of these two has greater surface and by how much?

How many cubic centimetres of iron are there in an open box whose external dimensions are 36cm, 25cm and 16.5cm, the iron being 1.5cm thick throughout? If 1 cubic cm of iron weighs 15g, find the weight of the empty box in kg.

A cuboidal tea packet measures 10 cm by 6 cm by 4 cm. How many such tea packets can be placed in a cardboard box of dimensions 50 cm by 30 cm by 0.2 m?