Advertisements
Advertisements
प्रश्न
Total surface area of a cube is 5400 sq. cm. Find the surface area of all vertical faces of the cube.
Advertisements
उत्तर
Let the edge of the cube be l cm.
Total surface area of the cube = 5400 cm2
∴ 6l2 = 5400
⇒ l2 = `5400/6` = 900
⇒ l = `sqrt900` = 30 cm
∴ Surface area of all vertical faces of the cube = 4l2
= 4 × (30 cm)2
= 4 × 900 cm2
= 3600 cm2
Thus, the surface area of all vertical faces of the cube is 3600 cm2.
APPEARS IN
संबंधित प्रश्न
What will happen to the volume of a cube, if its edge is trebled?
A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
Fill in the blank in the following so as to make the statement true:
The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm3. The height of the cuboid is ........ cm.
Fill in the blank in the following so as to make the statement true:
1 cu.dm = ........ cu. mm
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
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.
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
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.
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.
If the lateral surface area of a cube is 600 cm2, then the total surface area is
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
If the length of the diagonal of a cube is `6sqrt(3)` cm, then the length of the edge of the cube is 3 cm.
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
