Use the picture to answer part a and part b. Part A: What is the surface area of the trapezoidal prism?

994 cm2

1,400 cm2

2,100 cm2

2,160 cm2

Part B: What is the volume of this figure?

5,040 cm3

5,880 cm3

6,720 cm3

11,760 cm3

Part A:  2,100 cm²

Part B: 5,880 cm³

Step-by-step explanation:

Area 1st rectangle = 15*28

Area 2nd rectangle = 20*28

Area 3d rectangle = 12*28

Area 4th rectangle = 13*28

Area trapezoid =(1/2) ( base1 + base2)*height = (1/2) (15+20)*12

There are two such trapezoids.

Complete surface area = 15*28 + 20*28 +12*28+13*28 + 2 *(1/2)(15+20)*12 =

= 2,100 cm²

Part B.

Volume = base area*height prism

Base area = area trapezoid = (1/2) (base1 a+ base2)*heght trapezoid =

= (1/2)*(20+15)*12

Volume =  (1/2)*(20+15)*12*28 = 5,880

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!