Advertisements
Advertisements
प्रश्न
The total surface area of a cube is 864 cm2. Find its volume.
उत्तर
Let the side of the cube be 'a' cm
∴ Total surface area of a cube = 6a2
∴ 864 = 6a2 ...(Given)
a2 = `(864)/(6)`
a2 = 144
a = `sqrt(144)` ...(Taking square roots on both sides)
∴ a = 12cm
Volume of a cube
= a3
= 123
= 1728cm3
∴ Volume of the cube = 1728cm3.
APPEARS IN
संबंधित प्रश्न
Fill in the blank in the following so as to make the statement true:
1 cu. km = ........ cu. m
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.
Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid as 648 m2; find the length of the edge of each cube. Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.
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 cubes, whose edges are x cm, 8 cm, and 10 cm respectively, are melted and recast into a single cube of edge 12 cm. Find 'x'.
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.
The ratio between the lengths of the edges of two cubes is in the ratio 3: 2. Find the ratio between their:
(i) total surface area
(ii) volume.
A solid cube of side 12 cm is cut into 8 identical cubes. What will be the side of the new cube? Also, find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.
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.
