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
What will happen to the volume of a cube, if its edge is halved ?
Find the volume in cubic decimetre of the cube whose side is 2 dm 5 cm .
Fill in the blank in the following so as to make the statement true:
1 litre = ........ cu. cm
Find the surface area of a cube whose edge is 1.2 m.
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.
A solid cube of side 12 cm is cut into 8 identical cubes. What will be the side of the new cube? Also, find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.
The square on the diagonal of a cube has an area of 441 cm2. Find the length of the side and total surface area of the cube.
The base of a rectangular container is a square of side 12 cm. This container holds water up to 2 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 224 cm3 of water overflows. Find the volume and surface area of the cube.
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.
