Q: What is the volume of a cube with a surface area of 64 square cm?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

(A)^3/2

The surface area of a cube with a volume of 512 mm3 is: 384 square mm

Take the cube root of the volume to get the length of an edge. Square this number to get the area of a side, Multiply this by 6 to get the total surface area of the cube.

Provided the shape remains similar, the surface varies as the 2/3 power of the volume. Or, to put it another way, the cube root of the volume varies directly as the square root of the surface area. Or, the square of the volume is in direct proportion to the cube of the area.

The surface area and volume of a cube with an edge of 2 centimeters are:Surface area = 24 square cmVolume = 8 cubic cm

Related questions

The surface area of the cube is 150 square meters.

(A)^3/2

The surface area of a cube whose volume is 64 cubic units is: 96 square units.

The surface area of a cube that has a volume of 27 cubic inches is: 54 square inches.

The surface area of a cube with a volume of 512 mm3 is: 384 square mm

Take the cube root of the volume to get the length of an edge. Square this number to get the area of a side, Multiply this by 6 to get the total surface area of the cube.

60.48 square inches.

The surface area will be 150 square inches.

Provided the shape remains similar, the surface varies as the 2/3 power of the volume. Or, to put it another way, the cube root of the volume varies directly as the square root of the surface area. Or, the square of the volume is in direct proportion to the cube of the area.

Divide the surface area by six. That will give you the area of one face, which will be a perfect square. The square root of that number will give you the length of a side. The cube of the side will be the volume.

The surface area and volume of a cube with an edge of 2 centimeters are:Surface area = 24 square cmVolume = 8 cubic cm

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