Advertisements
Advertisements
प्रश्न
Three cubes, whose edges are x cm, 8 cm, and 10 cm respectively, are melted and recast into a single cube of edge 12 cm. Find 'x'.
Advertisements
उत्तर
Volume of melted single cube x3 + 83 + 103 cm3
= x3 + 512 + 1000 cm3
= x3 + 1512 cm3
Given that 12 cm is edge of the single cube.
123 = x3 + 1512 cm3
x3 = 123 - 1512 cm3
x3 = 1728 - 1512
x3 = 216
x3 = 63
x = 6 cm
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 1.5 dm .
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?
Fill in the blank in the following so as to make the statement true:
The volume of a cube of side 8 cm is ........
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.
Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid as 648 m2; find the length of the edge of each cube. Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
When the length of each side of a cube is increased by 3 cm, its volume is increased by 2457 cm3. Find its side. How much will its volume decrease, if the length of each side of it is reduced by 20%?
Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
Find the T.S.A and L.S.A of the cube whose side is 21 cm
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
