Convert \( 0.00183 \ cm^3 \) to \( mm^3 \)Ģ. A pentagon with an area of a \( 196cm^2 \) is being used to construct a prism with a height of \( 13cm \). In this case, drinks are usually measured in \( mL \). Note: When there are no specific units are specified by the question, the answer should be in the most appropriate units for the situation. Hence, Alex drank \( 157.5 mL \) of cordial. We can directly convert this into capacity using the standard conversion, \( 1cm^2 = 1ml \). Note, that this chart is exactly the same as the above chart except we cube each unit and quantity.Ĭonvert each of the following units for volume. We can refer to the following conversion chart below. Using the same reasoning, we can say that:ġcm^3 = 10mm \times 10mm \times 10mm = 1 \ 000cm^3 Using \( V = Ah \) we find that the volume of the solid is: Now, using the conversion table above, what if we converted the units to centimetres instead?
The volume of the above solid, using \( V = Ah \) is: Now, let’s consider a cube with dimensions of \(1m\).
Recall that when we convert between one-dimension lengths we use the following conversion chart. Volume is the amount of space occupied by a three-dimensional solid. When we introduce a third dimension, known as depth, we have three-dimensional objects such as cubes and triangular prisms. Remember, area is the amount of space inside the boundary of a two-dimensional object such as squares and circles. Previously you would have learnt about area in our Beginner’s Guide to Year 7 Maths: Part 6: Area. Between \( km\) to \(cm\), and should be able to determine the areas of some quadrilaterals, triangles and circles. Students should be able to convert between different units of length.Į.g. Students would have been exposed to length and area in Stage 4 as a prerequisite to exploring volume and capacity. find the capacity of a cylindrical drink can or a watering canĪssumed Knowledge for Volume and Capacity
Develop the formula for the volume of prisms by considering the number and volume of ‘layers’ of identical shape: leading to.Draw different views of prisms and solids formed from combinations of prisms ( ACMMG16)ĭistinguish between solids with uniform and non-uniform cross-sectionsĬhoose appropriate units of measurement for volume and convert from one unit to another ( ACMMG195)Ĭonvert between metric units of volume and capacity, using:ĭevelop the formulas for the volumes of rectangular and triangular prisms and of prisms in general use formulas to solve problems involving volume ( ACMMG198)
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