Mathematics for IGCSE & O level - Limits Of Accuracy (Section 2 - No. 31)
A water tank measures 80 cm by 75 cm by 90 cm, to the nearest cm. The tank is used to fill how many 550 liter containers? Which of the following statements are correct?
The maximum capacity of the tank is 561.4875 L.
The lower bound of the tank's volume is 480,000 cm³.
The tank can definitely fill 1 container.
The tank can definitely fill 2 containers.
Explanation
The maximum volume is 80.5 * 75.5 * 90.5 = 551,487.375 cm³ = 551.487375 L; Lower bound is: 79.5 * 74.5 * 89.5 = 529672.125cm³= 529.672125 L. The lower bound is 529,672.125 cm³ (529.672125 L) therefore it is possible to have over 1 but possibly not 2 (depending on rounding).
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