Advertisements
Advertisements
प्रश्न
If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is
विकल्प
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
Find the height of a cuboid whose base area is 180 cm2 and volume is 900 cm3?
The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the
flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.
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.
How many soap cakes can be placed in a box of size 56 cm × 0.4 m × 0.25 m, if the size of a soap cake is 7 cm × 5 cm × 2.5 cm?
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 central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of white-washing the walls of the hall at the rate of Rs 1.20 per m2 is Rs 2385.60, fidn the breadth of the hall.
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.
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
The total surface area of a cylinder is 6512 cm2 and the circumference of its bases is 88 cm. Find:
(i) its radius
(ii) its volume
