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
Find the volume of a cube whose side is 1.5 dm .
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
Find the surface area of a cube whose volume is 343 m3.
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.
Total surface area of a cube is 864 sq.cm. Find its volume.
The total surface area of a cube is 864 cm2. Find its volume.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
One side of a cubic box is 0.4 m. How much will it cost to paint the outer surface of the box at the rate of 50 rupees per sqm?
If the total surface area of a cube is 2400 cm2 then, find its lateral surface area
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
