Question

a company makes wax candles in the shape of a rectangular prism. each candle is 5 inches long, 3 inches wide, and 7 inches tall. how much wax will they need to make 420 candles?

Explanation:

Step1: Calculate the volume of one candle

The volume \( V \) of a rectangular prism is given by \( V = l\times w\times h \), where \( l = 5 \) inches (length), \( w = 3 \) inches (width), and \( h = 7 \) inches (height).

$$ V=5\times3\times7=105\ \text{in}^3 $$

Step2: Calculate the total volume of 420 candles

Multiply the volume of one candle by the number of candles (\( n = 420 \)).

$$ \text{Total Volume}=105\times420 = 44100\ \text{in}^3 $$

Answer:

\( 44100\ \text{in}^3 \)