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?

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 of the figurine

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:

\(\$15\)