Question

Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of paint does Amanda need to paint the unpainted surfaces of the 8 cubes?

Answer 1

Amanda needs 24grams more of paint to paint the unpainted surfaces

Explanation:

A cube contains 6 surfaces

Let the wooden cube(painted) have a side length of 2 units.

Therefore,

Area of the wooden cube(painted) = 2 x 2 x 6

=24grams

The wooden cube is cut into 8 Equal cubes

The side length of the smaller cube is 1

Area of each small cube= 1 × 1 × 6 =6

Area of total small cube=6×8

=48grams

Unpainted area=Total area of small cubes - total painted area

=48g-24g

=24grams

Amanda needs 24grams more of paint to paint the unpainted surfaces