Question

this angular crystal vase has a height of 30 centimeters. the cross sections parallel to the base are always rectangles that are 16 centimeters wide by 8 centi

if we assume the crystal itself has no thickness, what would be the volume of the vase?

the volume would be

cubic centimeters.

graphing calculator

Explanation:

Step1: Calculate the area of the cross - section

The cross - section is a rectangle. The area formula of a rectangle is \(A = l\times w\). Given \(l = 16\) cm and \(w = 8\) cm, then \(A=16\times8 = 128\) \(cm^{2}\).

Step2: Calculate the volume of the vase

The volume formula of a prism (since cross - sections parallel to the base are congruent) is \(V=A\times h\). Given \(A = 128\) \(cm^{2}\) and \(h = 30\) cm. Then \(V=128\times30=\ 3840\) \(cm^{3}\).

Answer:

3840