Question

iris created a pyramid - shaped figurine out of solid aluminum with the dimensions shown. iris sells all of her figurines for $7.50 per cubic inch. what is the price of this figurine? $22.50

Explanation:

Step1: Calculate the volume of the pyramid

The formula for the volume of a pyramid is \(V=\frac{1}{3}Bh\), where \(B\) is the base area and \(h\) is the height.
The base is a rectangle with length \(l = 3\) in and width \(w=2\) in, so \(B=l\times w=3\times2 = 6\) square inches. The height \(h = 1\) in.
Then \(V=\frac{1}{3}\times6\times1= 2\) cubic inches.

Step2: Calculate the price

Since the price is \( \$7.50\) per cubic inch, and the volume \(V = 2\) cubic inches.
The price \(P=7.50\times V\). Substitute \(V = 2\) into the formula: \(P=7.50\times2=\$15\)

Answer:

\(\$15\)