Advertisements
Advertisements
प्रश्न
What will happen to the volume of a cube, if its edge is trebled?
Advertisements
उत्तर
\[\text { Suppose that the length of the edge of the cube is x } . \]
\[\text { Then, volume of the cube = (side ) }^3 = x^3 \]
\[\text { When the length of the side is trebled, the length of the new edge becomes 3 } \times x . \]
\[\text { Now, volume of the new cube = (side ) }^3 = (3 \times x )^3 = 3^3 \times x^3 = 27 \times x^3 \]
\[\text { Thus, if the edge of a cube is trebled, its new volume will be 27 times the initial volume } .\]
APPEARS IN
संबंधित प्रश्न
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
What will happen to the volume of a cube, if its edge is halved ?
Find the volume in cubic decimetre of the cube whose side is 1.5 m.
Find the surface area of a cube whose edge is 3 cm.
Find the surface area of a cube whose edge is 6 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 total surface area of a cube is 864 cm2. Find its volume.
Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.
One side of a cubic box is 0.4 m. How much will it cost to paint the outer surface of the box at the rate of 50 rupees per sqm?
A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?
