Advertisements
Advertisements
Question
Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.
Advertisements
Solution
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
RELATED QUESTIONS
Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Total surface area of a cube is 5400 sq. cm. Find the surface area of all vertical faces of the cube.
The square on the diagonal of a cube has an area of 1875 sq. cm. Calculate:
(i) The side of the cube.
(ii) The total surface area of the 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.
The length of the diagonals of a cube is 8√3 cm.
Find its:
(i) edge
(ii) total surface area
(iii) Volume
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
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.
If the total surface area of a cube is 2400 cm2 then, find its lateral surface area
A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.
