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A kitchen island has a volume of 42 cubic feet. Use the dimensions given in the figure to find the missing...

5. A kitchen island has a volume of 42 cubic feet. Use the dimensions given in the figure to find the missing dimension. Explain.
Identify several objects at home that can be represented as rectangular prisms. Have your child predict which object has the greatest volume, and then calculate the volumes of the objects to confirm or refute the prediction.

Answer

  1. To find the missing dimension, use the formula for the volume of a rectangular prism: Volume = length × width × height. Given the volume is 42 cubic feet, and the dimensions provided are 4 ft and 2 ft, let the missing dimension be x. Thus, 4 × 2 × x = 42. Solving for x, we get x = 42 / (4 × 2) = 42 / 8 = 5.25 ft. Therefore, the missing dimension is 5.25 feet.

  2. Identify objects such as boxes, books, or furniture that can be represented as rectangular prisms. Predict which has the greatest volume by estimating their dimensions. Calculate the volume of each object using the formula Volume = length × width × height to confirm or refute the prediction.

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