What is the surface area of this triangular prism rounded to the nearest tenth?

43.638 cubic meters

Step-by-step explanation:

The triangular prism has 5 faces - 3 rectangular and 2 congruent triangular. Calculate the area of each face then add them together to find the surface area.

The triangles are 5.3 by 1.26 so the area of the two is 6.678.

The largest rectangle face is 5.3 by 3.3 so the area is 5.3*3.3 = 17.49.

The side rectangle face that is 3.3 by 3.6 so the area is 3.3*3.6 = 11.88.

The side rectangle face that is 2.3 by 3.3 so the area is 2.3*3.3 = 7.59.

Add all the areas together.

6.678 + 17.49 + 11.88 + 7.59 = 43. 638

linear pair postulates

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11