A 48 cm long wire is welded into a cube frame. What is the volume of this frame? Analytical formulation

A 48 cm long wire is welded into a cube frame. What is the volume of this frame? Analytical formulation


A cube has 12 edges, each of which is equal in length
The edge length of cube is 48 △ 12 = 4cm
Cube volume = 4 × 4 × 4 = 64 cm3



With a 48 decimeter long wire welded into the largest cube frame, what is its area square decimeter? What is its volume cubic decimeter


4 × 4 × 6 = 96 square decimeter, surface area is 96 square decimeter, 4 × 4 × 4 = 64 cubic decimeter and volume is 64 cubic decimeter



How much space does this frame occupy by welding a 96 cm long wire into a cube frame


Xuancheng 19 knows,
Edge length: 96 △ 12 = 8 (CM)
Space: 8 × 8 × 8 = 512 (cm3)