Find the volume of each figure

See explanation

Step-by-step explanation:

1. The first figure shows triangular prism. The volume of the triangular prism is

The base of this triangular prism is the triangle with the base of 7 cm and height of cm (it is not seen).

The base area is

and the volume of the prism is

Just substitute the length of the height and calculate the volume.

2. The second figure shows square pyramid. The volume of the square pyramid is

The base of this square pyramid is the square with the side length of 4 yd.

The base area is

and the volume of the pyramid is

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints