Advertisements
Advertisements
प्रश्न
A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of the smaller cubes?
Advertisements
उत्तर
Surface area of a cube = 6a2, where a is side of a cube.
... Side of cube = 5 cm
... Surface area of the cube = 6 × (5)2 = 6 × 25 = 150 cm2
Now, surface area of the cube with side 1 cm = 6 × (1)2 = 6 cm2
... Surface area of 5 cubes with side 1 cm = 5 × 6 = 30 cm2
Ratio of the surface area of the original cube to that of the sum of the surface area of the smaller cubes
= `30/150`
= `3/15`
= 1 : 5
APPEARS IN
संबंधित प्रश्न
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 2 dm 5 cm .
Fill in the blank in the following so as to make the statement true:
The volume of a cube of side 8 cm is ........
Fill in the blank in the following so as to make the statement true:
1 litre = ........ cu. cm
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
The volume of a cube is 729 cm3. Find its total surface area.
The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cubes formed.
Also, find the cost of polishing the surfaces of all the cubes formed at the rate Rs. 150 per sq. m.
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 ______.
