Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Edge of first cube = 6 cm
Volume = (6)3 = 216 cm3
Edge of second cube = 10 cm
Volume = (10)3 = 1000 cm3
Edge of third cube = x
Volume =x3
Edge of resulting cube = 12 cm
Volume = (12)3 = 1728 cm3
216 + 1000 + x3 = 1728
x3 = 1728 – 216 – 1000 = 512 = (8)3
x = 8
Edge of third cube = 8 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:
The volume of a cube of side 8 cm is ........
Find the volume of a cube whose surface area is 150 m2 .
Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
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.
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.
Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
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 areas of any two faces of a cube are equal.
