Advertisements
Advertisements
प्रश्न
If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is
पर्याय
8 : 1
2`sqrt(2):1`
2 : 1
none of these
Advertisements
उत्तर
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
संबंधित प्रश्न
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2.
Find the lateral surface area and total surface area of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.
Find the volume of a cuboid whose length = 12 cm, breadth = 8 cm, height = 6 cm.
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.)
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.
The capacity of a rectangular tank is 5.2 m3 and the area of its base is 2.6 x 104 cm2; find its height (depth).
An open box of length 1.5 m, breadth 1 m, and height 1 m is to be made for use on a trolley for carrying garden waste. How much sheet metal will be required to make this box? The inside and outside surface of the box is to be painted with rust-proof paint. At a rate of 150 rupees per sqm, how much will it cost to paint the box?
The total surface area of a cuboid is 46m2. If its height is 1m and breadth 3m, find its length and volume.
A square plate of side 'x' cm is 4 mm thick. If its volume is 1440 cm3; find the value of 'x'.
A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
