Advertisements
Advertisements
प्रश्न
What will happen to the volume of a cube, if its edge is trebled?
Advertisements
उत्तर
\[\text { Suppose that the length of the edge of the cube is x } . \]
\[\text { Then, volume of the cube = (side ) }^3 = x^3 \]
\[\text { When the length of the side is trebled, the length of the new edge becomes 3 } \times x . \]
\[\text { Now, volume of the new cube = (side ) }^3 = (3 \times x )^3 = 3^3 \times x^3 = 27 \times x^3 \]
\[\text { Thus, if the edge of a cube is trebled, its new volume will be 27 times the initial volume } .\]
संबंधित प्रश्न
Find the volume of a cube whose side is 1.5 dm .
The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?
Fill in the blank in the following so as to make the statement true:
1 m3 = .........cm3
Find the surface area of a cube whose edge is 3 cm.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
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.
Find the T.S.A and L.S.A of the cube whose side is 8 m
The lateral surface area of a cube of side 12 cm is
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
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?
