Question

what is the volume of the figure if qrst is a rectangle and qr = 2.5 inches, rs = 3 inches, and ab = 9 inches? round your answer to the nearest tenth. use the keypad to type your answer in the box provided. the volume of the figure is cubic inches.

Explanation:

Step1: Calculate the area of the rectangle QRST

The area of a rectangle \(A = l\times w\). Here, \(l = QR = 2.5\) inches and \(w=RS = 3\) inches. So, \(A=2.5\times3=\frac{25}{10}\times3=\frac{75}{10}=7.5\) square inches.

Step2: Calculate the volume of the prism

The volume of a prism \(V=A\times h\), where \(A\) is the base - area and \(h\) is the height. The base - area \(A = 7.5\) square inches (from Step 1) and the height \(h = AB=9\) inches. So, \(V=7.5\times9=\frac{75}{10}\times9=\frac{675}{10}=67.5\) cubic inches.

Answer:

\(67.5\)