Answer:
306 square inches
Step-by-step explanation:
The surface are of a triangular prism is given as:
A = ab + 3bh
where a = Length of side
b = base length
h = height of the prism
If the dimensions are 3 times as great, that means a becomes 3a, b becomes 3b and h = 3h
Therefore, the new surface area becomes:
A1 = (3a * 3b) + 3(3b * 3h) = 9ab + 27bh
A1 = 9(ab + 3bh)
=> A1 = 9A
The surface area of the initial prism is 34 square inches, therefore, the surface area of the new prism will be:
A1 = 9 * 34 = 306 square inches
