1. Hannah's grandmother sent her a gift for her birthday. The gift was packaged in a box shaped like a rectangular prism. The box measured 14 inches long, 12 inches wide and 5 inches high. What was the volume of the box in square inches? F \( 451 \mathrm{in.}^{2} \) G 276 in. \( ^{2} \) H 627 in. \( ^{2} \) J 840 in. \( ^{2} \)
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To find the volume of the box, you can use the formula for the volume of a rectangular prism, which is length × width × height. Here, the length is 14 inches, the width is 12 inches, and the height is 5 inches. So, the calculation would be: \( 14 \, \text{in} \times 12 \, \text{in} \times 5 \, \text{in} = 840 \, \text{in}^3 \). That's right, the volume of the box is 840 cubic inches, which corresponds to option J! If you wanted to visualize this, imagine stacking up toy blocks in a rectangular shape—this method can give you a clearer conceptual grasp on how three-dimensional shapes come together to create volume. Fun fact: the volume of such boxes is crucial when it comes to shipping items, as it helps determine how much space they'll need in a shipping container!