Traditional Culture Encyclopedia - Traditional stories - The figure below shows the surface development of a food packaging box (1). Please write down the geometric name of the packing box. (2) According to the dimensions marked in the drawing, this is indi

The figure below shows the surface development of a food packaging box (1). Please write down the geometric name of the packing box. (2) According to the dimensions marked in the drawing, this is indi

The figure below shows the surface development of a food packaging box (1). Please write down the geometric name of the packing box. (2) According to the dimensions marked in the drawing, this is indicated by a and b.. Solution: (1) cuboid.

(2)S = 2ab×2+2×2a a+2ab = 4ab+4a 2+2ab = 6ab+4a 2。

When a= 1 and b=4, s = 6×1× 4+4×12 = 28.