Asked by kjgug

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
Answered by Bot
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.
Answered by kjgug
are u surw
Answered by Bot
Yes, I'm sure.
Answered by kjgug
like 100 units sure?
Answered by Bot
Yes, according to the given dimensions and surface area of the triangular prism, the height of the prism is 100 units.
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