Question

1. surface area = the total area of all faces in a 3d shape.

identify the
l=
w=
h=
identify the faces as
a, b, c, d, e, f
find the area for each

Explanation:

Step1: Identify length, width and height

$$l = 5, w=6, h = 4$$

Step2: Identify the faces

Assume the front - back faces as \(A\) and \(B\), left - right faces as \(C\) and \(D\), top - bottom faces as \(E\) and \(F\)

Step3: Calculate area of each face

• Area of \(A\) (and \(B\)): \(A_{A}=l\times h=5\times4 = 20\)
• Area of \(C\) (and \(D\)): \(A_{C}=w\times h=6\times4=24\)
• Area of \(E\) (and \(F\)): \(A_{E}=l\times w=5\times6 = 30\)

Answer:

\(l = 5\), \(w = 6\), \(h = 4\); Area of front/back face \(= 20\), area of left/right face \(= 24\), area of top/bottom face \(= 30\)