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
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm in following figure. The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2. Find the total expenses required for polishing and painting the surface of the bookshelf.
What will happen to the volume of a cuboid if its Length is doubled, height is same and breadth is halved?
A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is 12 `sqrt(3)` cm. Find the edges of three cubes.
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 cuboid with dimension 10 cm × 6 cm × 5 cm is
Two cuboids with equal volumes will always have equal surface areas.
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?
