Advertisements
Advertisements
प्रश्न
Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.
Advertisements
उत्तर
Given that:
Diagonal of a cube = `sqrt(48)"cm"`
i.e., `sqrt(3) xx "l" = sqrt(48)` ...[∵ Diagonal of cube = `sqrt(3) xx "l"]`
l = `sqrt(48)/sqrt(3)`
l = `sqrt(48/3)`
= `sqrt(16)`
= 4cm
∴ Side (l) = 4cm
Now,
Volume of cube
= l3
= l x l x l
= 4 x 4 x 4
= 16 x 4
= 64cm3
∴ Volume of Cube = 64cm3.
APPEARS IN
संबंधित प्रश्न
What will happen to the volume of a cube, if its edge is trebled?
Find the volume in cubic decimetre of the cube whose side is 1.5 m.
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
Find the surface area of a cube whose edge is 1.2 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.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its 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 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.
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.
