Question

Please go through step by step so I can also learn the correct way. Will thank the person who goes step by step

Answer 1

Answer:

5.848 in

Step-by-step explanation:

Divide the piece of cardboard into nine equal squares of side z.

The centre square is the base of the cube.

When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.

The cube must have a volume of 200 in³.

    V = z³

200 = z³

    $z = \sqrt[3]{200}$

    $z = \sqrt[3]{8\times25}$

    $z = 2\sqrt[3]{25}$

    z = 2 × 2.924

    z = 5.848 in

The edge length of the cube is 5.848 in.