To find the surface area of the rectangular prism, we need to find the area of each of the six faces and then add them up.
Face 1: The front face is a rectangle with sides a = 70 cm and b = 21 cm. The area of this face is ab = 70 cm x 21 cm = 1470 cm^2.
Face 2: The back face is also a rectangle with the same dimensions as the front face. So, its area is also 1470 cm^2.
Face 3: The top face is a rectangle with sides a = 70 cm and c = 29 cm. The area of this face is ac = 70 cm x 29 cm = 2030 cm^2.
Face 4: The bottom face is also a rectangle with the same dimensions as the top face. So, its area is also 2030 cm^2.
Face 5: The left face is a rectangle with sides b = 21 cm and c = 29 cm. The area of this face is bc = 21 cm x 29 cm = 609 cm^2.
Face 6: The right face is also a rectangle with the same dimensions as the left face. So, its area is also 609 cm^2.
Now, we can add up the areas of all six faces to get the surface area:
Surface area = Face 1 + Face 2 + Face 3 + Face 4 + Face 5 + Face 6
Surface area = 1470 cm^2 + 1470 cm^2 + 2030 cm^2 + 2030 cm^2 + 609 cm^2 + 609 cm^2
Surface area = 9218 cm^2
Therefore, the surface area of the rectangular prism is 9218 cm^2.
The figure below is a net for a rectangular prism. Side a = 70 centimeters, side b = 21 centimeters, and side c = 29 centimeters. What is the surface area of this figure?
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