Answer:
The length of the edge of the container is 5 centimeters
Step-by-step explanation:
The volume of a cube is V = L³, where L is the length of its side
∵ The side of the small cube is 1 centimeter
→ By using the rule above
∴ The volume of the small cube = (1)³ = 1 cm³
∵ Mario uses 125 small cubes to make the container in the shape of a cube
→ Multiply the number of the small cubes by the volume of each cube to
get the volume of the container
∴ The volume of the container = 125 × 1 = 125 cm³
→ Use the rule of the volume above to find the length of the side
of the container
∵ V = 125 cm³
∴ 125 = L³
→ Take cube root to both sides to find L
∵ [tex]\sqrt[3]{125}[/tex] = [tex]\sqrt[3]{L}[/tex]
∴ 5 = L
∴ The length of the edge of the container is 5 centimeters
