What is the surface area of the triangular prism represented by the net below?

9514 1404 393

  608 cm²

Step-by-step explanation:

The central rectangle is 10+12+10 = 32 cm high and 16 cm wide. Its area is ...

  A = LW = (32 cm)(16 cm) = 512 cm²

Each of the two triangles on the side have an area of ...

  A = 1/2bh = (1/2)(12 cm)(8 cm) = 48 cm²

There are two triangles and one rectangle, so the total surface area is ...

  total area = rectangle area + 2 · triangle area

  total area = 512 cm² +2(48 cm²) = 608 cm²

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10