NCETM_Mathematics_Department_Workshops_Dimensions_HT2.DIM.1

Mathematics Department Workshops True False Topic: Dimensions Resource Sheet HT2.DIM.1 Statements about dimensions Discuss whether the following are true of false. Give reasons for your answers. Statement 4πr2 represents an area if r is a radius 4/3 πr3 represents a volume if r is a radius (p+q+r) ÷ 2 is a measure of length is p, q and r are lengths Numbers are dimensionless π is dimensionless π2 represents area A length + a length is a measure of area An area + an area is meaningless A length squared represents area Dimensions for surface area are units squared The square root of an area represents a length r2 + r3 is a measure of volume if r is a radius xysinθ is a measure of volume if x and y are lengths www.ncetm.org.uk A Department for Children, Schools and Families initiative to enhance professional development across mathematics teaching