AQA · Mathematics · 8300

GCSE Maths: Graphs: filling containers

Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Graphs: filling containers (Corbettmaths Video 171), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

6 flashcards · Free to study · No account needed

Study this deck

Preparing your cards…

All questions and answers

Read through the full deck, or practise recalling each answer above.

When water is poured into a container at a constant rate, what does the shape of the depth–time graph tell you?
Show answer
The shape of the container. A wider section fills more slowly (shallower slope); a narrower section fills faster (steeper slope).
If a cylindrical container is filled with water at a constant rate, what shape is the depth–time graph?
Show answer
A straight line with constant slope. The uniform width means the depth increases at a steady rate.
If a container has a wide base and narrow top, what happens to the slope of the depth–time graph as it fills at constant pour rate?
Show answer
The slope increases (gets steeper). The narrow top fills faster because the same volume of water produces a greater depth increase.
If a container has a narrow base and wide top, what happens to the slope of the depth–time graph as it fills at constant pour rate?
Show answer
The slope decreases (gets shallower). The wide top fills more slowly because the same volume of water produces a smaller depth increase.
If the rate of pouring water into a container decreases, what happens to the slope of the depth–time graph?
Show answer
The slope decreases (becomes shallower). Less water per unit time means slower depth increase.
What two factors determine the slope of a depth–time graph when filling a container?
Show answer
The pour rate (volume per unit time) and the container's cross-sectional area at that height.

Want to create your own cards? Create a free account. AI generation uses credits.

Study this deck

All questions and answers

When water is poured into a container at a constant rate, what does the shape of the depth–time graph tell you?

If a cylindrical container is filled with water at a constant rate, what shape is the depth–time graph?

If a container has a wide base and narrow top, what happens to the slope of the depth–time graph as it fills at constant pour rate?

If a container has a narrow base and wide top, what happens to the slope of the depth–time graph as it fills at constant pour rate?

If the rate of pouring water into a container decreases, what happens to the slope of the depth–time graph?

What two factors determine the slope of a depth–time graph when filling a container?