Question

What is the total surface area of the 3-D figure?

12 m
20 m
8 m
10 m
32 m

Answer 1

To calculate the total surface area of a 3-D figure, we need to find the sum of the areas of all its surfaces.

Let's assume the 3-D figure is a rectangular prism.

A rectangular prism has 6 surfaces: 2 identical rectangles as the bases and 4 rectangles as the lateral faces.

If the length, width, and height of the rectangular prism are given, we can calculate the total surface area using the formula:
Total Surface Area = 2lw + 2lh + 2wh

Let's say the dimensions of the rectangular prism are:
Length (l) = 4m
Width (w) = 2m
Height (h) = 3m

Total Surface Area = 2(4*2) + 2(4*3) + 2(2*3)
Total Surface Area = 8 + 24 + 12
Total Surface Area = 44 m^2

Therefore, the total surface area of the 3-D figure is 44 square meters.

None of the given options match this area, so we cannot determine the total surface area based on the information provided.