Answer:
936 cm²
Step-by-step explanation:
The surface area is the sum of all the faces.
The base is a rectangle with
area = 24 × 7 = 168 cm²
The back is a rectangle with
area = 18 × 7 = 126 cm²
The sloping face is a rectangle with
area = 30 × 7 = 210 cm²
The 2 triangular faces are congruent with
area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then
area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²
Then
surface area = 168 + 126 + 210 + 432 = 936 cm²
