Question

this zigzag crystal vase has a height of 10 inches. the cross sections parallel to the base are always rectangles that are 6 inches wide by 3 inches long. a. if we assume the crystal itself has no thickness, what would be the volume of the vase? the volume would be type your answer... cubic inches.

Explanation:

Step1: Calculate the area of the base

The base is a rectangle with width \( w = 6\) inches and length \( l=3\) inches. The area of a rectangle is \(A = w\times l\).
\(A=6\times3 = 18\) square inches.

Step2: Use the formula for the volume of a prism

The volume of a prism (since cross - sections are parallel) is \(V=A\times h\), where \(A\) is the area of the base and \(h\) is the height. Given \(h = 10\) inches and \(A = 18\) square inches.
\(V=18\times10=180\)

Answer:

180