9514 1404 393
Answer:
Step-by-step explanation:
The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...
A = bh = 7(6.1) = 42.7 . . . square units
The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...
P = 7+7+7 = 21
and the lateral surface area is ...
LA = PL = 21·2 = 42
Then the total surface area of the prism is ...
total area = A + LA = 42.7 +42 = 84.7 . . . square units
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The volume of a rectangular prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Your prism has a volume of ...
V = (26.25 in²)(4.5 in) = 118.125 in³
