Answer:
Step-by-step explanation:
[tex]a=\sqrt[3]{6^3+8^3+10^3}=\sqrt[3]{216+512+1000}=\sqrt[3]{1728}=12[/tex]
Answer:
To find the edge of the new cube formed by combining three metallic cubes of sizes 6 cm, 8 cm, and 10 cm, we need to consider the volume of each cube. The volume of a cube is given by the formula: Volume = side Let's calculate the
volumes of the three cubes:
1. Cube with side length 6 cm: Volume₁ = (6 cm)³ = 216 cm³
2. Cube with side length 8 cm: Volume2 = (8 cm)³ = 512 cm³
3. Cube with side length 10 cm: Volume3 = (10 cm)³ = 1000 cm³ To find the total volume of the new cube, we add the volumes of the three individual cubes:
length of the new cube. Since the new cube has a volume of 1728 cm^3, we can use theformula for the volume of a cube to find its edge length:
Volume = side Substituting the values: 1728 cm³ = side³ Taking the cube root of both sides to solve for the side length: 3 side = 1728 cm³ = 12 cm Therefore, the edge length of the new cube formed by combining the three metallic cubes is 12 cm. Please note that this answer assumes the cubes are combined without any gaps or overlapping, and that the edges of the cubes align perfectly to form the new cube.
