Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let the side of a cube be 'a' units.
The total surface area of one cube = 6a2
The total surface area of 3 cubes = 3 x 6a2 = 18a2
After joining 3 cubes in a row, length of Cuboid = 3a
Breadth and height of cuboid = a
The total surface area of the cuboid = 2( 3a2 + a2 + 3a2 ) = 14a2
The ratio of total surface area of a cuboid to the total surface area of 3 cubes = `(14a^2) /(18a^2) = 7/9`
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.
Fill in the blank in the following so as to make the statement true:
1 ml = ........ cu. cm
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
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.
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m2
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces painted.
A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of the smaller cubes?
