![]() 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 Solve a variety of practical problems involving the volumes and capacities of right prisms and cylinders.Recognise and explain the similarities between the volume formulas for cylinders and prisms ( Communicating).Develop and use the formula to find the volumes of cylinders: where \( r \) is the length of the radius of the base and \( h \) is the perpendicular height.Solve a variety of practical problems involving the volumes and capacities of right-angled prismĬalculate the volumes of cylinders and solve related problems ( ACMMG217).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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