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This test develops understanding of volume and capacity and the distinction between them. Tasks involve space occupied by solid objects, selection of suitable cubic or capacity units and simple practical calculations.
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Remaining capacity equals total capacity minus the amount already filled. Use the same units for both amounts. For example, a 12 l container holding 7 l can take 12 − 7 = 5 l more.
Rectangular prism volume is V = length × width × height. Express all three lengths in the same units. Lengths in centimetres give volume in cm³.
All cube edges are equal. Its volume is the edge length cubed: V = a × a × a = a³. An edge in centimetres gives volume in cm³.
1000 millilitres = 1 litre. Divide the millilitres by 1000. For example, 1500 ml = 1.5 l.
1 dm³ = 1 l. The numerical value stays the same: the number of cubic decimetres equals the number of litres.
Volume is measured in cubic units. A small box has dimensions conveniently measured in centimetres, so its volume is measured in cm³. cm measures length, cm² measures area and l/min measures flow rate.
Multiply the aquarium length, width and height to find its volume. Dimensions in decimetres give dm³. Since 1 dm³ = 1 l, the same number gives the water capacity in litres.
1000 millilitres = 1 litre. Divide the millilitres by 1000. For example, 1500 ml = 1.5 l.
1 dm³ = 1 l. The numerical value stays the same: the number of cubic decimetres equals the number of litres.
1 litre = 1000 millilitres. Multiply the litres by 1000. For example, 2.5 l = 2500 ml.
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Volume measures the space occupied by a solid and uses cubic units. The volume of a rectangular prism is V = abc, while the volume of a cube is V = a³.
1 dm³ = 1 l and 1 cm³ = 1 ml, linking volume and capacity units. Do not confuse volume with surface area: volume has three dimensions and cubic units.
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https://www.catestia.com/en/mathematics/6th-grade/volume-sole-test/33/