Answer:
correct answer is <em>456 sq units.</em>
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Step-by-step explanation:
Let us have a look at the formula for Surface Area of a prism:
Where p is the perimeter of base
h is the height of prism
and B is the base area of prism.
Given that:
h = 7.5 units
Hypotenuse of prism's base = 20 units
One of the Other sides = 12 units
Pythagorean theorem can be used to find the 3rd side of right angled base.
Square of hypotenuse = Sum of squares of other two sides
Area of base = area of right angled triangle:
Perimeter height = (12+20+16) 7.5 = (48) 7.5 = 360 sq units
Now putting the values in formula:
Surface area, A = 360+96 = 456 sq units
So, correct answer is <em>456 sq units.</em>