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3. A box of oat cereal measures 24 centimeters long by 5 centimetérs Wide by 25 centimeters high. A box of rice cereal measures 26 centimeters long by 4 centimeters wide by 28 centimeters high. Which box has the greater volume? How much greater?

Ask by Burns Martinez. in the United States
Mar 11,2025

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Answer

The box of oat cereal has a greater volume by 88 cubic centimeters.

Solution

To determine which box has the greater volume and how much greater, we need to calculate the volume of each box and then compare them. The volume of a box is given by the formula: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] For the box of oat cereal: - Length = 24 cm - Width = 5 cm - Height = 25 cm For the box of rice cereal: - Length = 26 cm - Width = 4 cm - Height = 28 cm Let's calculate the volume of each box and then compare them. Calculate the value by following steps: - step0: Calculate: \(24\times 5\times 25\) - step1: Multiply the terms: \(120\times 25\) - step2: Multiply the numbers: \(3000\) Calculate or simplify the expression \( 26*4*28 \). Calculate the value by following steps: - step0: Calculate: \(26\times 4\times 28\) - step1: Multiply the terms: \(104\times 28\) - step2: Multiply the numbers: \(2912\) The volume of the box of oat cereal is 3000 cubic centimeters, and the volume of the box of rice cereal is 2912 cubic centimeters. Since 3000 is greater than 2912, the box of oat cereal has a greater volume. The difference in volume is 3000 - 2912 = 88 cubic centimeters.

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To find the volume of each box, we can use the formula for volume: length × width × height. For the oat cereal box: Volume = 24 cm × 5 cm × 25 cm = 3,000 cm³. For the rice cereal box: Volume = 26 cm × 4 cm × 28 cm = 2,912 cm³. Comparing the two volumes, the oat cereal box has a greater volume of 3,000 cm³ compared to the rice cereal box's 2,912 cm³. The difference is: 3,000 cm³ - 2,912 cm³ = 88 cm³. So, the oat cereal box has a volume that is 88 cm³ greater than the rice cereal box!

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