Advertisements
Advertisements
Question
If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is
Options
8 : 1
2`sqrt(2):1`
2 : 1
none of these
Advertisements
Solution
Let,
`V_1-V_2`→ Volumes of the two cubes
`a_1,a_2→` Edges of the two cubes
We know that,
V = a3
So,
`V_1/V_2 = (a_1^3)/(a_2^3)`
`8/1 = (a_1/a_2)^3`
`a_1/a_2 = 2:1`
Ratio of their edges is 2:1 .
APPEARS IN
RELATED QUESTIONS
Find the volume of a cuboid whose length = 12 cm, breadth = 8 cm, height = 6 cm.
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?
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
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 bricks each of size 25 cm × 10 cm × 8 cm will be required to build a wall 5 m long, 3 m high and 16 cm thick, assuming that the volume of sand and cement used in the construction is negligible?
The rainfall on a certain day was 6 cm. How many litres of water fell on 3 hectares of field on that day?
A cloassroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows, etc.)
Find the volume and the total surface area of a cuboid, whose :
l = 3.5 m, b = 2.6 m and h = 90 cm
Find the volume of wood required to make a closed box of external dimensions 80 cm, 75 cm, and 60 cm, the thickness of walls of the box being 2 cm throughout.
The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.
