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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.
What is a cube with edge length one unit called a unit cube is said to have of volume?
A cube with an edge length of one unit, known as a unit cube, has a volume of one cubic unit. The volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the length of an edge. Since the edge length of a unit cube is 1, its volume is ( 1^3 = 1 ) cubic unit.
What is edge whose volume is 1384 and how?
To find the edge length of a cube with a volume of 1384 cubic units, you can use the formula for the volume of a cube, which is ( V = a^3 ), where ( a ) is the edge length. To find ( a ), you take the cube root of the volume: ( a = \sqrt[3]{1384} ). Calculating this gives approximately ( a \approx 11.1 ) units. Thus, the edge length of the cube is about 11.1 units.
A cube has an edge length of 5 inches. You triple the side lengths. How many times greater is the volume of the new cube?
The volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the edge length. The original cube with an edge length of 5 inches has a volume of ( 5^3 = 125 ) cubic inches. When the edge length is tripled to 15 inches, the new volume is ( 15^3 = 3375 ) cubic inches. The new volume is ( \frac{3375}{125} = 27 ) times greater than the original volume.
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.
What is a cube with edge length one unit called a unit cube is said to have of volume?
A cube with an edge length of one unit, known as a unit cube, has a volume of one cubic unit. The volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the length of an edge. Since the edge length of a unit cube is 1, its volume is ( 1^3 = 1 ) cubic unit.
What is edge whose volume is 1384 and how?
To find the edge length of a cube with a volume of 1384 cubic units, you can use the formula for the volume of a cube, which is ( V = a^3 ), where ( a ) is the edge length. To find ( a ), you take the cube root of the volume: ( a = \sqrt[3]{1384} ). Calculating this gives approximately ( a \approx 11.1 ) units. Thus, the edge length of the cube is about 11.1 units.
A cube has a volume of 3375 cubic inches. Find the length of an edge?
To find the length of an edge of a cube given its volume, you can use the formula for the volume of a cube: ( V = s^3 ), where ( s ) is the length of an edge. Given the volume ( V = 3375 ) cubic inches, you can find ( s ) by taking the cube root: ( s = \sqrt[3]{3375} ). This calculates to ( s = 15 ) inches. Thus, the length of an edge of the cube is 15 inches.
What is the formula for a cube volume?
it's V=LxWxH (volume is equal to length times width times height)
A cube has an edge length of 3 in. What is its volume?
27 cubic inches.
What is the volume of a cube with each edge measuring 9 inches?
The volume of a cube is the cube of the length of one edge. (9 inches)3 = 729 cubic inches.
What is the variable expression for the volume of a cube whose edge length is x?
Its volume is x^3
How do you find the edge of a cube if the volume is 200?
The equation of the volume of a cube is s^3, where 's' is the length of one edge. So the edge would be the cubed root of the volume. In your case, the cube root of 200. Which is 5.848 (approx).
What happens to the volume of a cube when the edge lengths are doubled?
Volume of cube = l^3 Volume = (2l)^3 = 8*l^3 When you double the length, you multiply the volume by 8.
A cube has an edge length of 5 inches. You triple the side lengths. How many times greater is the volume of the new cube?
The volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the edge length. The original cube with an edge length of 5 inches has a volume of ( 5^3 = 125 ) cubic inches. When the edge length is tripled to 15 inches, the new volume is ( 15^3 = 3375 ) cubic inches. The new volume is ( \frac{3375}{125} = 27 ) times greater than the original volume.
