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.
Advertisements
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
A cube A has side thrice as long as that of cube B. What is the ratio of the volume of cube A to that of cube B?
Find the volume in cubic decimetre of the cube whose side is 1.5 m.
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.
The volume of a cube is 729 cm3. Find its total surface area.
Three equal cubes are placed adjacently in a row. Find the ratio of the total surfaced area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
How many bricks will be required for constructing a wall which is 16 m long, 3 m high, and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm?
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.
If the total surface area of a cube is 2400 cm2 then, find its lateral surface area
