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54 square inches.

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How do you find the direct proportion between volume and surface area of a cube?

To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3 This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5


What is the surface area volume of a cube that is 5mm in length?

The total surface area is 150mm2 and the volume of the cube 125mm3


What is the surface area of a cube with a side length w?

If each edge of a cube is w, then the area of each face of the cube is w2 .Since the cube has 6 faces, its total surface area is 6w2.The volume of the cube is w3 .


What is the surface area of a cube of side 5cm?

The surface area is 150 cm2


How do you find SA ratio with volume ratio?

The surface-area-to-volume ratio also called the surface-to-volume ratio and variously denoted sa/volor SA:V, is the amount of surface area per unit volume of an object or collection of objects. The surface-area-to-volume ratio is measured in units of inverse distance. A cube with sides of length a will have a surface area of 6a2 and a volume of a3. The surface to volume ratio for a cube is thus shown as .For a given shape, SA:V is inversely proportional to size. A cube 2 m on a side has a ratio of 3 m−1, half that of a cube 1 m on a side. On the converse, preserving SA:V as size increases requires changing to a less compact shape.

Related Questions

What is the volume of a cube with a surface area of 25 square units?

Surface Area of a Cube = 6a2 where a is the length of a side25 = 6a225/6 = a2a = 2.04124Volume of Cube = a3= 2.041243= 8.50515


Calculate the surface area volume and ratio of surface area to volume of an imaginary cubic cell measuring 4 cm on each side?

surface area of cube = 6a2 = 6 x42 = 84 cm. Volume of cube= a3= 4 x 4 x 4= 64 cm Ration of surface area : volume = 84:64 = 21:16


Finding the surface area of a cube?

Total surface area of a cube = 6*area of cube face = 6*cube side*cube side


The volume of a cube is 64 cubic inches Its total surface area in square inches is?

Denoting a to be the cube's side, its volume is equal to a3. Therefore, if V = 64 in3:a = 641/3 = 4 inA cube has six faces, with each of their surface area being equal to a2; hence:Total area = 6 a2 = 96 in2


What is curved surface area of cube?

Zero. A cube does not have a curved surface area.


What is the surface area of a 0.5cm cube?

The surface area of a 0.5cm cube is 1.5cm2


What is the surface area of a 1mm cube?

The surface area of a 1mm cube is 6mm2


What would be the volume of a cube with a surface area of 294cm2?

A cube has 6 faces of equal area. Area of each face would then be: 294 / 6 = 49 cm2. Each face is a square with edge of length equal to square root of its surface: a = sqrt(49) = 7 cm. Volume of cube is V = a3. For a = 7 cm, it would be V = 343 cm3.


How do you find the volume and surface area of a cube?

A cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex.The cube formula:Volume of Cube = a³Surface Area of Cube = 6a²Diagonal of Cube = Sqrt(3)*a(a = represents a side)Lets say that the number for the given side is 3, this is how the calculation would look:Volume = a³ = 3³ = 27Surface Area = 6 * 4² = 6 * 9 = 54And the Diagonal = Sqrt(3)*a = Sqrt(3) * 3 = 1.73 * 3 = 5.19


How do you find lateral surface area of cube?

If a is the side,lateral surface area of cube=4a2


What happens to the surface area of a cube when the cube decreases in size?

Surface area also decreases


What is the volume of a cube that has a surface area of 343?

The volume of a cube that has a surface area of 343 is 432.2