Volume and capacity of prisms and cylinders

Volume units, capacity in millilitres and litres, and the volume of prisms and cylinders using V = Ah.

Units

Prism

$$V = Ah \quad (A = \text{area of the cross-section})$$

Cylinder

$$V = \pi r^2 h$$

Example 1●

A triangular prism has a triangle face with base $6$ cm and height $4$ cm, and length $10$ cm. Find its volume.

$A = \tfrac{1}{2} \times 6 \times 4 = 12$ cm²

$V = 12 \times 10 = 120$ cm³

Example 2●●

A cylindrical tank has radius $0.5$ m and height $2$ m. How many litres does it hold?

$V = \pi \times 0.5^2 \times 2 \approx 1.571$ m³

$\times 1000 \approx 1571$ L

Flashcards

Prism volume

$V = Ah$

1 L

$1000$ cm³

1 m³

$1000$ L

Practice