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
Fill in the blank in the following so as to make the statement true:
1 kl = ....... m3
Find the surface area of a cube whose edge is 6 m .
Find the surface area of a cube whose edge is 2.1 m.
Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.
Total surface area of a cube is 864 sq.cm. Find its volume.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
The total surface area of a cube is 864 cm2. Find its volume.
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
The volume of a cube is 64 cm3. Its surface area is ______.
