NZ Level 5
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Volume of Prisms I
Lesson

Revision of Volume of Prisms

We have been learning about the volume of objects, particularly rectangular prisms, and then prisms more broadly.  

Volume of Prism

$\text{Volume of any prism }=\text{Area of Base }\times\text{Height }$Volume of any prism =Area of Base ×Height

$V=A_b\times h$V=Ab×h

Units for Volume

It is probably worthwhile to remind ourselves of the units that are often used for calculations involving volume.

Units for Volume

cubic millimetres = mm3

(picture a cube with side lengths of 1 mm each - pretty small this one!)

cubic centimetres = cm3

(picture a cube with side lengths of 1 cm each - about the size of a dice)

cubic metres = m3 

(picture a cube with side lengths of 1 m each - what could be this big?)

AND to convert to capacity - 1cm3 = 1mL

Worked Examples

QUESTION 1

Find the volume of the cube shown.

QUESTION 2

Find the volume of the rectangular prism shown.

QUESTION 3

Find the volume of the prism by finding the base area first.

Outcomes

GM5-4

Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders

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