Advertisements
Advertisements
प्रश्न
Find the volume of a cube whose surface area is 96 cm2.
उत्तर
\[\text { Surface area of the given cube = 96 } {cm}^2 \]
\[\text { Surface area of a cube = 6 }\times\text { (side })^2 \]
\[ \Rightarrow 6 \times\text { (side ) }^2 = 96\]
\[ \Rightarrow\text { (side ) }^2 =\frac{96}{6} = 16 \]
\[\text { i . e . , side of the cube }= \sqrt{16} = 4 cm\]
\[ \therefore\text { Volume of the cube = (side ) }^3 = (4 )^3 = 64 {cm}^3 \]
APPEARS IN
संबंधित 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.
Fill in the blank in the following so as to make the statement true:
The volume of a cube of side 8 cm is ........
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.
Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid as 648 m2; find the length of the edge of each cube. Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.
The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.
Three cubes, whose edges are x cm, 8 cm, and 10 cm respectively, are melted and recast into a single cube of edge 12 cm. Find 'x'.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
When the length of each side of a cube is increased by 3 cm, its volume is increased by 2457 cm3. Find its side. How much will its volume decrease, if the length of each side of it is reduced by 20%?
The volume of a cube is 1331 cm3. Find its total surface area.
The base of a rectangular container is a square of side 12 cm. This container holds water up to 2 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 224 cm3 of water overflows. Find the volume and surface area of the cube.
