Advertisements
Advertisements
प्रश्न
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
पर्याय
8 cm3
512 cm3
64 cm3
27 cm3
Advertisements
उत्तर
The total surface area of a cube is 96 cm2. The volume of the cube is 64 cm3.
Explanation:
Surface area of a cube = 96 cm2
Surface area of a cube = 6 (Side)2 = 96
⇒ (Side)2 = 16
⇒ (Side) = 4 cm ...[Taking positive square root because side is always a positive quantity]
Volume of cube = (Side)3 = (4)3 = 64 cm3
Hence, the volume of the cube is 64 cm3.
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?

If each edge of a cube is doubled, how many times will its surface area increase?
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
Three equal cubes are placed adjacently in a row. Find the ratio of the total surfaced area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m2
The lateral surface area of a cube of side 12 cm is
If the length of the diagonal of a cube is `6sqrt(3)` cm, then the length of the edge of the cube is 3 cm.
A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?
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?
