Geometry anyone knows this

b) 516.2 cm³

Step-by-step explanation:

1) We can break the figure into two parts, a rectangular prism and a half cylinder.

2) The volume of the rectangular prism can be determined by multiplying 12 × 7 × 5, which is 420.

3) The equation for the volume of a cylinder is πr²h, but since this is half a cylinder, we will need to use the equation 1/2 × πr²h.

4) 1/2 × π × 3.5² × 5. The radius is 3.5, because the diameter is 7.

5) This should give us 30.625π.

6) Now we add 30.625π + 420, which is approximately 516.2.