Question

mario has a container in a shape of a cube. He uses 125 small cubic legos with side lengths of 1 centimeter to completely fill the container. how long is the edge of the container in centimeters?

Answer 1

The length of the edge of the container is 5 centimeters

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

∵
`\sqrt[3]{125}` =
`\sqrt[3]{L}`

∴ 5 = L

∴ The length of the edge of the container is 5 centimeters