Question

a company makes wax candles in the shape of a rectangular prism. each candle is 6 inches long, 3 inches wide, and 8 inches tall. how much wax will they need to make 288 candles?
□ in³

Explanation:

Step1: Find volume of one candle

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height. For one candle, \( l = 6 \) in, \( w = 3 \) in, \( h = 8 \) in. So, \( V = 6 \times 3 \times 8 \). Calculating that: \( 6 \times 3 = 18 \), then \( 18 \times 8 = 144 \) cubic inches. So one candle has a volume of \( 144 \) \( \text{in}^3 \).

Step2: Find volume for 288 candles

To find the total wax needed for 288 candles, multiply the volume of one candle by 288. So, \( \text{Total Volume} = 144 \times 288 \). Calculating \( 144 \times 288 \): \( 144 \times 200 = 28800 \), \( 144 \times 80 = 11520 \), \( 144 \times 8 = 1152 \). Adding those together: \( 28800 + 11520 = 40320 \), \( 40320 + 1152 = 41472 \).

Answer:

41472