18 Part A
A cube is a solid with 6 faces. All faces are congruent squares. All edges of the cube are sides of the square faces. Since all faces are congruent squares, all edges of the cube are congruent segments. You can find the lengths of all edges of the cube since they are all equal.
18 Part B
The volume of a cube is the cube of the edge.
If you are given the volume of a cube, take the cubic root of the volume to find the edge of the cube.
edge = cubic root of 64 cm^2 = 4 cm
Since we now know the edge, we can find the area of a square face.
A = side^2 = (4 cm)^2 = 16 cm^2
Each face of the cube has an area of 16 cm^2.
The area of the square hole in the toy is 8 cm^2, so the block will not fit in the square hole.
