Advertisements
Advertisements
प्रश्न
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the volume of a cube whose side is 1.5 dm .
Fill in the blank in the following so as to make the statement true:
1 cu. km = ........ cu. m
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
Total surface area of a cube is 864 sq.cm. Find its volume.
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.
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.
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
The volume of a cube is 1331 cm3. Find its total surface area.
The total surface area of a cube is 864 cm2. 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.
