The third has three dimensions (r × r × r).ģ(a² + b²)r is the third formula with three dimensions. The first has three dimensions, since it is r × r × l. NB: Numbers are dimensionless so ignore p, 2, 4 and 3. From the following, tick the three which represent volumes. The letters r, l, a and b represent lengths. Therefore if you are asked to choose a formula for the volume of an object from a list, you will know that it is the one with three dimensions. Lines have one dimension, areas have two dimensions and volumes have three. mm² to cm²) is 1:10² (there are 100mm² in a cm²) and the ratio of their volumes (mm³ to cm³) is 1:10³ (there are 1000mm² in a cm²). This is why the ratio of the length of a mm to a cm is 1:10 (there are 10mm in a cm). In general, if the ratio of two lengths (of similar shapes) is a : b, the ratio of their areas is a² : b². The ratio of these areas is 9 : 36 (= 1 : 4). The area of the first is 9cm and the area of the second is 36cm. What is the volume of trapezoidal prism It is: 0. The ratio of these lengths is 3 : 6 (= 1 : 2). A trapezoidal prism has 8 vertices:A trapezoid has 4 vertices.A trapezoidal prism is composed of 2 trapezoids. Imagine two squares, one with sides of length 3cm and one with sides of length 6cm. When working with lengths try to use metres if possible and when working with mass, use kilograms. WHEN USING FORMULAE FOR AREA AND VOLUME IT IS NECESSARY THAT ALL MEASUREMENTS ARE IN THE SAME UNITS. Volume: 1/3pr²h (h is perpendicular height) Volume = 1/3 × area of base × perpendicular height (=1/3pr²h for circular based pyramid).Ĭurved surface area: prl (l is slant height)
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