Advertisements
Advertisements
Question
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
Advertisements
Solution
Given that:
Side (l1) of cube (a) = x cm
Side (l2) of cube (b) = 8 cm
Side (l3) of cube (c) = 10 cm
Edge length of new formed cube = 12cm
Volume of cube (a) = (l1)3 = x3 cm3
Volume of cube (b) = (l2)3 = 83 = 512 cm3
Volume of cube (c) = (l3)3 = 103 = 1000 cm3
Total Volume of all three cubes - Volume of 1 cube
x3 + 83 + 103 = 123
x3 + 512 + 1000 = 1728
x3 = 1728 - 1512
x = `root(3)(216)`
∴ x = 6cm.
APPEARS IN
RELATED QUESTIONS
A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
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 surface area of a cube whose edge is 1.2 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.
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.
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.
A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m2
The lateral surface area of a cube of side 12 cm is
A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?
