Advertisements
Advertisements
प्रश्न
The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.
Advertisements
उत्तर
Volume of melted single cube = 33 + 43 + 53 cm3
= 27 + 64 + 125 cm3
= 216 cm3
Let a be the edge of the new cube.
Volume = 216 cm3
a3 = 216
a3 = 63
a = 6 cm
Therefore, 6 cm is the edge of cube.
APPEARS IN
संबंधित प्रश्न
Find the side of a cube whose surface area is 600 cm2.
The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?
Find the volume of a cube whose surface area is 96 cm2.
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
The internal length, breadth, and height of a box are 30 cm, 24 cm, and 15 cm. Find the largest number of cubes which can be placed inside this box if the edge of each cube is
(i) 3 cm (ii) 4 cm (iii) 5 cm
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.
The lateral surface area of a cube of side 12 cm is
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
The areas of any two faces of a cube are equal.
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
