The easiest way to find the volume of a cube is to find the length of its edge
and then cube that number.
Here's how to find the length of the edge from the total surface area:
-- A cube has 6 faces. If its total surface area is 96 square units, then
the area of each face is 16 square units.
-- Each face is a square. If the area of the square is 16 square units, then
the side of the square is 4 units.
But the side of the square face is the same as the edge of the cube !
-- The volume of the cube is (4 x 4 x 4) = 64 cubic units.
Cube root of 216 = 6 units Therefore each face is 6*6 units which = 36 square units A cube has 6 faces, so 6*36 = 216 square units which is the surface area of the cube.
A sphere with this volume has a diameter of 9.1416 cm, a surface area of 262.54 square cm and a circumference of 28.719 cm.
3,136 square units
Example 6:A cube has a surface area of 150. What is the volume of the cube?Solution:The surface area of the cube is:SA= 6a2Thus:a2= SA/6 = 150/6 = 25anda = 5 cmThe volume of the cube is:V= a3V = 53V = 125 cm3
The edge length is: 8 units.
The surface area of a cube whose volume is 64 cubic units is: 96 square units.
Cube root of 216 = 6 units Therefore each face is 6*6 units which = 36 square units A cube has 6 faces, so 6*36 = 216 square units which is the surface area of the cube.
384.5 units squared.
V = 343 units cubed.
6 units
The total surface area is 150.79632 square units
The total surface area is 230.64 square units.
Surface area of a sphere in square units = 4*pi*radius^2
V = 64 cubic inches.
81 square units
81 square units Actual area 80.6404 square units
A sphere with this volume has a diameter of 9.1416 cm, a surface area of 262.54 square cm and a circumference of 28.719 cm.