Advertisements
Advertisements
प्रश्न
The total surface area of a cube is 864 cm2. Find its volume.
उत्तर
Let the side of the cube be 'a' cm
∴ Total surface area of a cube = 6a2
∴ 864 = 6a2 ...(Given)
a2 = `(864)/(6)`
a2 = 144
a = `sqrt(144)` ...(Taking square roots on both sides)
∴ a = 12cm
Volume of a cube
= a3
= 123
= 1728cm3
∴ Volume of the cube = 1728cm3.
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 1.2 m .
Find the volume in cubic decimetre of the cube whose side is 2 dm 5 cm .
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:
1 cu. km = ........ cu. m
Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
The internal length, breadth, and height of a box are 30 cm, 24 cm, and 15 cm. Find the largest number of cubes which can be placed inside this box if the edge of each cube is
(i) 3 cm (ii) 4 cm (iii) 5 cm
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.
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
