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Volume of Prisms I


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


Find the volume of the cube shown.

A three-dimensional cube with edges depicted in a green outline. The front bottom edge of the cube is labeled with the measurement of $12$12 cm.


Find the volume of the rectangular prism shown.

A three-dimensional rectangular prism is depicted with its dimensions labeled. The height is labeled as 3 cm, the width as 2 cm, and the length as 8 cm.


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

A three-dimensional trapezoid prism is depicted. The trapezoid is facing front. The trapezoid has a bottom base measuring 16 cm, and a top base measuring 13 cm. The height of the trapezoid is measured 5 cm. The depth of the shape is measured 3 cm.



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

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