Determine the volume of this prism

200cm cubed

Step-by-step explanation:

Remember that volume of a rectangular prism is length x width x height

A) 200

Step-by-step explanation: The volume of a prism is length x width x height. Substitute the variables in this given prism into the equation.

Length = 10

Width = 5

Height = 4

V = 10 x 5 x 4 = 200

1. You must apply the Secant and Tangent segment theorem, which establishes:

 Tangent²=(The whole secant segment)(External secant segment)

 2. The whole secant segment is: AD=a+12

 3. The external secant segment is: BD=10

 4. The tangent segment is: DE=12

 5. Then, you have:

 DE²=ADxBD
 12²=(a+10)10
 10(a+10)=12²

 6. Therefore, the answer is the third option: 10(a+10)=12²