Advertisements
Advertisements
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.
Advertisements
उत्तर
\[\text { The edges of the two cubes are 2 cm and 4 cm } . \]
\[\text { Volume of the cube of side 2 cm, V_1 = (side ) }^3 = (2 )^3 = 8 {cm}^3 \]
\[\text { Volume of the cube of side 4 cm }, V_2 = (\text { side })^3 = (4 )^3 = 64 {cm}^3 \]
We observe the following:
\[ V_2 = 64 {cm}^3 = 8 \times 8 {cm}^3 = 8 \times V_1 \]
\[ \therefore V_2 = 8 V_1\]
APPEARS IN
संबंधित प्रश्न
Find the volume in cubic decimetre of the cube whose side is 75 cm.
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
Find the surface area of a cube whose edge is 27 cm.
The volume of a cube is 729 cm3. Find its total surface area.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
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.
The dimensions of a rectangular box are in the ratio 4: 2 : 3. The difference between the cost of covering it with paper at Rs. 12 per m2 and with paper at the rate of 13.50 per m2 is Rs. 1,248. Find the dimensions of the box.
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.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
The areas of any two faces of a cube are equal.
