### Home > GC > Chapter 9 > Lesson 9.1.5 > Problem 9-49

9-49.

Use a special right triangle to find the height of the parallelogram.

For help, see the Math Notes box in Lesson 5.3.1.

Find the height of the parallelogram:

linear scale factor = 6

Find the area of the base:

Area of parallelogram = area of prism base

Area of a parallelogram = (base)(height)

= (13)(7)

= 91 inches²

Find the volume of the prism:

Volume of prism = (area of base)(depth)

≈ (91 inches²)(10.39 inches)

≈ 945.49 inches³