Advertisements
Advertisements
प्रश्न
Total surface area of a cube is 864 sq.cm. Find its volume.
Advertisements
उत्तर
Let the edge of the cube be l cm.
Total surface area of the cube = 864 cm2
∴ 6l2 = 864 cm2
⇒ l2 = `864/6`
⇒ l2 = 144
⇒ l = `sqrt 144`
⇒ l = 12 cm
∴ Volume of the cube = l3
= (12)3
= 1728 cm3
Thus, the volume of the cube is 1728 cm3.
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 1.5 dm .
A cube A has side thrice as long as that of cube B. What is the ratio of the volume of cube A to that of cube B?
A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?
Fill in the blank in the following so as to make the statement true:
The volume of a cube of side 8 cm is ........
Fill in the blank in the following so as to make the statement true:
1 kl = ........ cu. dm = ........ cu. cm.
Find the surface area of a cube whose edge is 2.1 m.
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
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 5400 sq. cm. Find the surface area of all vertical faces of the cube.
The volume of a cube is 729 cm3. Find its total surface area.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
Three solid cubes of edges 6 cm, 10 cm, and x cm are melted to form a single cube of edge 12 cm, find the value of x.
The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2, find its volume.
The total surface area of a cube is 294cm2. Find its volume.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
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?
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?
