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 4 cm .
Fill in the blank in the following so as to make the statement true:
1 cu.dm = ........ cu. mm
Find the surface area of a cube whose edge is 6 m .
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
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.
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%?
The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cubes formed.
Also, find the cost of polishing the surfaces of all the cubes formed at the rate Rs. 150 per sq. m.
The length of a hall is double its breadth. Its height is 3 m. The area of its four walls (including doors and windows) is 108 m2, find its volume.
If the lateral surface area of a cube is 600 cm2, then the total surface area is
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?
