Question

Figure this out please

Answer 1

Answer:

570 cm³

Step-by-step explanation:

Check the rule in your picture about Calculating the volume of a prism:

Volume = (2×15)×19

             = 570

Answer 2

Answer:  380 cubic cm

Explanation:

The front and back faces are trapezoids. Focus on one of the trapezoids.

I'll focus on the front face. It has parallel sides of b1 = 15 and b2 = 5. The height is h = 2.

The area of this trapezoid is

A = h*(b1+b2)/2

A = 2*(15+5)/2

A = 2*20/2

A = 40/2

A = 20

So any vertical cross sectional area is 20 square cm.

Multiply this by the depth of the prism, which is 19, to get the volume of the prism

Volume = (area of cross section)*(depth)

Volume = (20)*(19)

Volume = 380 cubic cm