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. 10 10 8 show your work here

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 8 and the height is 10. So, \( A = 8 \times 10 = 80 \).

Step2: Find the volume of the prism

The volume of a prism is given by the formula \( V = Area\ of\ base \times length\ of\ the\ prism \). The length of the prism is 10 (as given in the diagram). We already found the area of the base is 80. So, \( V = 80 \times 10 = 800 \).

Answer:

800