The formula for the surface area of a triangular prism is:
SA = 2B + Ph
Where SA is the surface area, B is the area of the base, P is the perimeter of the base, and h is the height of the prism.
From the net, we can see that the base is a triangle with base 24 and height 7, so:
B = (1/2)(24)(7) = 84
The perimeter of the base is the sum of the three sides, which is:
P = 7 + 25 + 24 = 56
Substituting these values into the formula, we get:
5768 = 2(84) + 56h
Simplifying:
5768 = 168 + 56h
5600 = 56h
h = 100
Therefore, the height of the prism is 100 units.
The surface area of the triangular prism shown is 5,768 square units. Other dimensions are also shown on the net. What is the height of the prism?
(1 point)
dimensions are
7
25
and 24
5 answers
are u surw
Yes, I'm sure.
like 100 units sure?
Yes, according to the given dimensions and surface area of the triangular prism, the height of the prism is 100 units.