Advertisements
Advertisements
प्रश्न
Total surface area of a cube is 5400 sq. cm. Find the surface area of all vertical faces of the cube.
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
If each edge of a cube is doubled, how many times will its volume increase?
A cube A has side thrice as long as that of cube B. What is the ratio of the volume of cube A to that of cube B?
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
Find the volume in cubic decimetre of the cube whose side is 75 cm.
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.
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the 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 ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be