(a) Area of each missing face is A = 18 cm^2.
(b) Length of each missing edge is 6cm.
In the given problem we have,
Surface area of given prism is 72cm^2,
Now,
a) The areas of the opposing faces in a rectangular prism are equal.
Area A is the given missing face area.
Area of other face are 6cm^2, 12cm^2, 6cm^2,12cm^2
Considering that the rectangular prism's total surface area is the sum of its six equal faces
72 cm^2 = 6cm^2 + 12cm^2 + 6cm^2 +12cm^2 + A + A
72 cm^2 = 36 +2A
A= 18cm^2
(b) Now, each missing edge's length
Given what we know, the rectangle's area is length × width
18cm^2 = length × 3 cm
length = 18/3 =6cm
(a) Area of each missing face is A = 18 cm^2.
(b) Length of each missing edge is 6cm.
Question