4. The base area of a rectangular prism is 40 square centimeters. Its height is 9 centimeters. What is the volume, in cubic centimeters, of th rectangular prism? \( 3240 \mathrm{~cm}^{3} \) \( 49 \mathrm{~cm}^{3} \) \( 360 \mathrm{~cm}^{3} \) \( 720 \mathrm{~cm}^{3} \)
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To find the volume of a rectangular prism, the formula you need is: Volume = Base Area × Height. In this case, the base area is 40 square centimeters, and the height is 9 centimeters. Plugging in these values gives us: Volume = 40 cm² × 9 cm = 360 cm³. So the correct answer is \( 360 \mathrm{~cm}^{3} \). What’s fascinating about volume is that it’s not just limited to prisms! For example, when thinking about practical applications, consider how architects and engineers calculate the volume of different spaces for fittings, storage, and even art installations. This ensures the efficient use of materials and proper planning! If you're ever calculating volumes, be cautious! A common mistake is mixing up units—sometimes students forget to ensure both measures are in the same unit before applying the formula. Always double-check your work to avoid that pitfall!