Answer:
1920 in²
Step-by-step explanation:
Assume the dimensions of the solid are as in the figure below.
1. Area of rectangular solid
The area consists of four rectangles, each 15 in × 14 in.
The formula for the area of a rectangle is
A = lw
So, the area of the four rectangles is
A = 4lw = 4 × 15 in × 14 in = 840 in²
2. Area of square pyramids
The two square pyramids have eight triangular faces.
Each triangle has a base of 15 in and a base of 14 in.
The formula for the area of a triangle is
A = ½bh
So. the area of the eight triangles is
A = 8 × ½bh = 4bh = 4 × 15 in × 18 in = 1080 in²
3. Total surface area
Rectangular solid = 840 in²
Square pyramids = 1080
Total surface area = 1920 in²
The total area of the figure is 1920 in².
