Question

Please help with this math question thanks!!!

Answer 1

Answer: 61.5 square feet.

Explanation:

The surface area of all the figure is the sum of the areas of each plane:

1) Bottom: length * width = 7.5 ft * 1.5 ft = 11.25 ft^2

2) Front view: 7.5 ft * 1.5 ft + 2.5 ft * 1.5 ft = 11.25 ft^2 + 3.75 ft^2 = 15 ft^2

3) Back side = front = 15 ft^2

4) Top surfaces: 3 * 2.5 ft * 1.5ft = 11.25 ft^2

5) laterals = 4 * 1.5 ft * 1.5 ft = 9 ft^2

6) Total = sum = 11.25 ft^2 + 15 ft^2 + 15 ft^2 + 11.25 ft^2 + 9 ft^2 = 61.5 ft^2

Answer: 61.5 ft^2

Answer 2

The surface area is
A1=7.5*1.5*2=22.5 ft2 top and bottom view
A2=3*1.5*2=9 ft2 laterals view
A3=(7.5*1.5+2.5*1.5)*2=30 ft2  front and rear view

At=22.5+9+30=61.5 ft2
the answer is 61.5 ft2