Answer:
no
Explanation:
The surface area is the sum of the areas of the faces.
There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...
1 cm, 2.5 cm, 2 cm, 2.3 cm
for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...
(5 cm)(7.8 cm) = 39.0 cm^2
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The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...
A = 2×(1/2)(b1 +b2)h = (b1 +b2)h
A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2
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The surface area of the entire trapezoidal prism is then ...
total area = base area + lateral area = 6.9 cm^2 +39 cm^2
total area = 45.9 cm^2
The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)