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Arithmetic
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12(a) Range of Cuboid Volume

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10/23/2025
Problem
The cuboid has sides 5 cm, 6 cm, and 3 cm, each correct to the nearest 1 cm. Find the range of the actual volume of the cuboid.
Solution

Hints:

73.875 cm³ to 134.875 cm³

Lower limits: 5 - 0.5 = 4.5 \\text{ cm}, 6 - 0.5 = 5.5 \\text{ cm}, 3 - 0.5 = 2.5 \\text{ cm}. Volume = 4.5 \\times 5.5 \\times 3 = 73.875 \\text{ cm}^3. Upper limits: 5 + 0.5 = 5.5 \\text{ cm}, 6 + 0.5 = 6.5 \\text{ cm}, 3 + 0.5 = 3.5 \\text{ cm}. Volume = 5.5 \\times 6.5 \\times 3.5 = 134.875 \\text{ cm}^3.

Tags

measurement
volume
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