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Edge length refers to the measurement of a single edge of a geometric shape, such as a cube or a polygon. In three-dimensional shapes, it is the distance between two vertices connected by an edge. The concept is essential in geometry, as it helps determine the shape's volume, surface area, and other properties. In a cube, for example, all edges are of equal length, which directly influences its overall dimensions.
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What is the relationship of the edge length of the cube to its volume?
The volume of a cube is directly related to the length of its edge through the formula ( V = a^3 ), where ( V ) is the volume and ( a ) is the edge length. This means that if you increase the edge length, the volume increases exponentially, specifically by the cube of the edge length. For example, doubling the edge length results in an eightfold increase in volume. Thus, the edge length and volume are intrinsically linked through this cubic relationship.
If the surface area of a cube is 150 in squared what is the length of an edge?
The edge length is 5 inches.
What is a length of an edge of a cube if the surface area is 294cm squared?
The length of the edge is 7 cm
What is the edge length of 216 cube unit?
To find the edge length of a cube given its volume, you take the cube root of the volume. For a cube with a volume of 216 cubic units, the edge length is calculated as follows: ( \text{Edge length} = \sqrt[3]{216} = 6 ) units. Therefore, the edge length of the cube is 6 units.
What is edge length of a cube?
The edge length of a cube is the measurement of one of its sides, which are all equal in length. It is the distance between two adjacent vertices of the cube. If the volume of a cube is known, the edge length can be calculated using the formula ( a = \sqrt[3]{V} ), where ( a ) is the edge length and ( V ) is the volume. For example, if a cube has a volume of 27 cubic units, its edge length would be 3 units.
What is the relationship of the edge length of the cube to its volume?
The volume of a cube is directly related to the length of its edge through the formula ( V = a^3 ), where ( V ) is the volume and ( a ) is the edge length. This means that if you increase the edge length, the volume increases exponentially, specifically by the cube of the edge length. For example, doubling the edge length results in an eightfold increase in volume. Thus, the edge length and volume are intrinsically linked through this cubic relationship.
The surface area of a cube as a function of the length of an edge?
Area = 6s2 where s is the length of an edge.
If a cube has a surface area of 384 cm2 what is the edge length?
Edge length will be 8 cm
If the surface area of a cube is 150 in squared what is the length of an edge?
The edge length is 5 inches.
What is a length of an edge of a cube if the surface area is 294cm squared?
The length of the edge is 7 cm
How do you figure out edge length of a cube that is 3cm by 3cm?
The edge length would be 3 cm.
What is the edge length of 216 cube unit?
To find the edge length of a cube given its volume, you take the cube root of the volume. For a cube with a volume of 216 cubic units, the edge length is calculated as follows: ( \text{Edge length} = \sqrt[3]{216} = 6 ) units. Therefore, the edge length of the cube is 6 units.
What is edge length of a cube?
The edge length of a cube is the measurement of one of its sides, which are all equal in length. It is the distance between two adjacent vertices of the cube. If the volume of a cube is known, the edge length can be calculated using the formula ( a = \sqrt[3]{V} ), where ( a ) is the edge length and ( V ) is the volume. For example, if a cube has a volume of 27 cubic units, its edge length would be 3 units.
A cube has a surface area of 384cm2 What is the edge length of this cube?
The edge length of this cube is: 8 cm
What is the method to calculate the edge length of a face-centered cubic structure?
To calculate the edge length of a face-centered cubic structure, you can use the formula: edge length (8/3) radius.
Volume of cube is 1 cubic decimeter. what is the length of the cube's edge?
The cube's edge length is 1 decimeter.
The edge length of 2-cm cube is how many times the edge length of 1-cm cube?
1
