Advertisements
Advertisements
प्रश्न
The ratio between the lengths of the edges of two cubes is in the ratio 3: 2. Find the ratio between their:
(i) total surface area
(ii) volume.
उत्तर
Ratio in edges of two cubes = 3:2
Let edge of first cube = 3x
Then edge of second cube = 2x
(i) Now total surface area of first cube = 6 x (3x)2 = 6 x 9x2 = 54x2
and of surface area of second cube = 6 x (2x)2 = 6 x 4x2 = 24x2
Ratio = 54x2: 24x2 = 9:4
(ii) Volume of first cube = (3x)3 = 27x3
and second cube = (2x)3 = 8x3
Ratio = 27x3: 8x3 = 27 :8
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 1.2 m .
A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?
Find the surface area of a cube whose edge is 6 m .
Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
The volume of a cube is 729 cm3. Find its total surface area.
The dimensions of a rectangular box are in the ratio 4: 2 : 3. The difference between the cost of covering it with paper at Rs. 12 per m2 and with paper at the rate of 13.50 per m2 is Rs. 1,248. Find the dimensions of the box.
The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2, find its volume.
Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.
Find the T.S.A and L.S.A of the cube whose side is 21 cm
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
