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Mensuration: Areas and Volumes · Question 39 of 68

Question 39

MediumOriginal question

A fish tank is 50 cm long, 40 cm wide and 30 cm high, with water up to 20 cm. When Joseph lowers a stone into it, the water rises to 23.5 cm without spilling. What is the volume of the stone?

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The stone pushes up water equal to its own volume.

  2. Rise in level = 23.5−20=3.523.5 - 20 = 3.5 cm.

  3. Stone volume = 50×40×3.5=7,00050 \times 40 \times 3.5 = 7{,}000 cm³.

Worth noting

40,000 cm³ is the water that was already there, 47,000 cm³ is water plus stone, and 13,000 cm³ is the space still empty above the water.

Concept
Displaced water equals the volume of the immersed solid
Typical time
70 s
Your time
—
The rule this testsCubes and cuboids
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