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
Find the side of a cube whose surface area is 600 cm2.
The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?
Fill in the blank in the following so as to make the statement true:
1 m3 = .........cm3
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.
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.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
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.
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.
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
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?
