Advertisements
Advertisements
Question
The length of the longest rod that can be fitted in a cubical vessel of edge 10 cm long, is
Options
10 cm
10`sqrt(2)` cm
10`sqrt(3)` cm
20 cm
Advertisements
Solution
The longest rod that can be fitted in the cubical vessel is its diagonal.
Side of the cube (l) = 10 cm
So, the diagonal of the cube,
`= sqrt(3l)`
`= 10 sqrt(3 )` cm
So, the length of the longest rod that can be fitted in the cubical box is `10 sqrt(3 )` cm .
APPEARS IN
RELATED QUESTIONS
Find the ratio of the total surface area and lateral surface area of a cube.
What will happen to the volume of a cuboid if its Length is doubled, height is same and breadth is halved?
The weight of a metal block of size 5 cm by 4 cm by 3 cm is 1 kg. Find the weight of a block of the same metal of size 15 cm by 8 cm by 3 cm.
A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of diesel can it hold?
The rainfall on a certain day was 6 cm. How many litres of water fell on 3 hectares of field on that day?
The dimensions of a cuboid are in the ratio 5 : 3 : 1 and its total surface area is 414 m2. Find the dimensions.
The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.
The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the wall.
The dimensions of a hall is 10 m × 9 m × 8 m. Find the cost of white washing the walls and ceiling at the rate of ₹ 8.50 per m2
