Advertisements
Advertisements
Question
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is ______.
Options
15 m
16 m
10 m
12 m
Advertisements
Solution
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is 15 m.
Explanation:
Given, dimensions of a room, l = 10 m, b = 10 m, h = 5 m
∴ Length of the longest pole = Diagonal of a cuboid (room)
= `sqrt(l^2 + b^2 + h^2)`
= `sqrt((10)^2 + (10)^2 + (5)^2`
= `sqrt(100 + 100 + 25)`
= `sqrt(225)`
= 15 m
Hence, the length of the longest pole is 15 m.
APPEARS IN
RELATED QUESTIONS
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m3 = 1000l)
A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.
Half cubic meter of gold-sheet is extended by hammering so as to cover an area of 1 hectare. Find the thickness of the gold-sheet.
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.
A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is ______.
