Advertisements
Advertisements
प्रश्न
The length of the longest rod that can be fitted in a cubical vessel of edge 10 cm long, is
विकल्प
10 cm
10`sqrt(2)` cm
10`sqrt(3)` cm
20 cm
उत्तर
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
संबंधित प्रश्न
The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?
A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm3 each are to be made. Find the number of beads that can be made from the block.
A cuboidal block of solid iron has dimensions 50 cm, 45 cm and 34 cm. How many cuboids of size 5 cm by 3 cm by 2 cm can be obtained from this block? Assume cutting causes no wastage.
The rainfall on a certain day was 6 cm. How many litres of water fell on 3 hectares of field on that day?
A cuboidal box is 5 cm by 5 cm by 4 cm. Find its surface area.
A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.
The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m3; find its length.
The internal length, breadth, and height of a closed box are 1 m, 80 cm, and 25 cm. respectively. If its sides are made of 2.5 cm thick wood; find :
(i) the capacity of the box
(ii) the volume of wood used to make the box.
Find the curved surface area and the total surface area of a right circular cylinder whose height is 15 cm and the diameter of the cross-section is 14 cm.
The length breadth and height of a cuboid are in the ratio of 3 : 3 : 4. Find its volume in m3 if its diagonal is `5sqrt(34)"cm"`.