the surface area of cube is 24 CM square.Fimd the volume
Answers
Answer:
If 24 cm^2 is the area of the entire surface of the cube, then the area of a given face of the solid = 24/6 = 4 cm^2, since all faces are squares of equal size. Thus, the length of each edge of the faces (and of the cube) = 2 cm ( (2 cm)^2=4 cm^2). The Volume of the cube then is equal to (2cm)^3 = 8 cm^3(8 cubic centimeters).
Explanation:
Answer:
If 24 cm^2 is the area of the entire surface of the cube, then the area of a given face of the solid = 24/6 = 4 cm^2, since all faces are squares of equal size. Thus, the length of each edge of the faces (and of the cube) = 2 cm ( (2 cm)^2=4 cm^2). The Volume of the cube then is equal to (2cm)^3 = 8 cm^3(8 cubic centimeters).
Explanation:
A cube has all sides equal, s
Volume is length x width x height, = s x s x s = s^3
It has 6 faces, the area of each = s x s = s^2, total surface area =6[(s)^2]
And the total surface area is given, 24 = 6 (s^2), so that s = sqr (24/6) =2 cm
V = (2^3) cm ^3
Volume of a cube with a total surface area of 24 sq cm is 8 cubic cm