Advertisements
Advertisements
प्रश्न
Find the length of the largest pole that can be placed in a room of dimensions 12 m × 4 m × 3 m.



Advertisements
उत्तर
We have ΔACF, in which ∠C = 90°, CF = 3 m and AC = `sqrt((12)^2 + (4)^2)` m
The length of the largest pole = Length of diagonal of cuboid
⇒ (AF)2 = (AC)2 + (CF)2
⇒ (AF)2 = (12)2 + (4)2 + (3)2
⇒ `AF = sqrt(144 + 16 + 9)`
= `sqrt(169)`
= 13 m
APPEARS IN
संबंधित प्रश्न
A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk?
The length , breadth and height of a room are 5 m, 4.5 m and 3 m, respectively. Find the volume of the air it contains.
How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?
Find the surface area of a cuboid whose length = 6 dm, breadth = 8 dm, height = 10 dm.
The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is
A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.
A cube of edge 6 cm and a cuboid with dimensions 4 cm x x cm x 15 cm are equal in volume. Find:
(i) the value of x.
(ii) the total surface area of the cuboid.
(iii) the total surface area of the cube.
(iv) which of these two has a greater surface and by how much?
All six faces of a cuboid are ______ in shape and of ______ area.
