Question

find the volume of the parallelogram - based prism given the measures shown. note: the prism has two parallelogram bases and four rectangular sides. the figure is not drawn to scale.

Explanation:

Step1: Find the area of the parallelogram base

The area of a parallelogram is given by the formula \( A = base \times height \). Here, the base of the parallelogram is 9 and the height is 10. So, \( A = 9 \times 10 \).
\( A = 90 \)

Step2: Find the volume of the prism

The volume of a prism is given by the formula \( V = \text{Area of base} \times \text{length of the prism} \). The length of the prism is 13, and the area of the base we found in Step 1 is 90. So, \( V = 90 \times 13 \).
\( V = 1170 \)

Answer:

1170