Problem 12 · 2022 Math Kangaroo
Medium
Geometry & Measurement
area
A box-shaped water tank measures 4 m × 2 m × 1 m, and the water in it is 25 cm deep. The tank is then turned onto its side (see the picture on the right). How high is the water in the tank now?
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Answer: D — 1 m
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Hint 1 of 2
The amount of water does not change — only the shape of the space it fills.
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Hint 2 of 2
Find the water's volume, then divide by the area of the new bottom face to get the new height.
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Approach: the volume stays the same, so divide by the new base
- The water's volume is 4 × 2 × 0.25 = 2 m³ (using 25 cm = 0.25 m).
- After tipping, the tank rests on a 1 m × 2 m face, so the new bottom has area 2 m².
- Height = volume ÷ base = 2 ÷ 2 = 1 m.
- So the answer is D.
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