Advertisements
Advertisements
प्रश्न
The edges of three solid cubes are 6 cm, 8 cm, and 10 cm. These cubes are melted and recast into a single cube. Find the edge of the resulting cube.
Advertisements
उत्तर
Edge of first solid cube = 6 cm
Volume = (6)3 = 216 cm3
Edge of second cube = 8 cm
Volume = (8)3 = 512 cm3
Edge of third cube = 10 cm
Volume = (10)3 = 1000 cm3
Sum of volumes of three cubes = 216 + 512 + 1000= 1728 cm3
Let a be the edge of so formed cube volume = a3
a3 = 1728 = (12)3
a = 12 cm
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 25 mm .
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
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 volume of a cube is 729 cm3. Find its total surface area.
Three solid cubes of edges 6 cm, 10 cm, and x cm are melted to form a single cube of edge 12 cm, find the value of x.
How many bricks will be required for constructing a wall which is 16 m long, 3 m high, and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm?
The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2, find its volume.
Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.
Find the T.S.A and L.S.A of the cube whose side is 21 cm
If the lateral surface area of a cube is 600 cm2, then the total surface area is
