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Volume, Mass & Density

Volume, Mass & Density. m³. kg. Sample Questions & Solutions. 4.5m. 1.8m. 38m. 5m. 2.4m. 55m. 7.5m. Volume. Calculate the volume of the shapes below in m 3. Volume of cuboid = L x B x H Volume of large cuboid = 7.5 x 2.4 x 4.5 = 81m³ Volume of small cuboid

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Volume, Mass & Density

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  1. Volume, Mass & Density m³ kg Sample Questions & Solutions

  2. 4.5m 1.8m 38m 5m 2.4m 55m 7.5m Volume Calculate the volume of the shapes below in m3 Volume of cuboid = L x B x H Volume of large cuboid = 7.5 x 2.4 x 4.5 = 81m³ Volume of small cuboid = 5 x 2.4 x 1.8= 21.6m³ Shape volume = 81 – 21.6 = 59.4m³ Volume = πr² x h = 3.14 x (38 x 38 )x 55 = 3.14 x 1,444 x 55 = 249,379 m3

  3. Volume • Find the volume of concrete required to fill twenty timber shutters measuring 2.5 meters in height and having a cross sectional area of 0.35m x 0.3m ? • Answer = 20 (L x B x H) • = 20 (0.35 x 0.3 x 2.5) • = 5.25m3 of concrete 2.5m 0.3m 0.35m

  4. Volume • Calculate the volume of concrete required in order to pour a concrete raft foundation 9.3m x 2.7m, having a depth of 300mm and with a perimeter edge beam support of 300mm x 300mm • Volume of main slab = L x B x H = 9.3 x 2.7 x 0.3 • = 7.533m³ • Volume of edge beam = 2(9.3 x 0.3 x 0.30 = 2(2.1* x 0.3 x 0.3) • So total = 7.533 + 2(9.3 x 0.3 x 0.3) + 2(2.1 x 0.3 x 0.3 ) • = 9.585m³ of concrete • *Note: edge beam measured full length on long sides so short sides are reduced by 2 x 0.3m to 2.1m 2.7m 300mm 300mm Section through foundation edge beam 300mm

  5. Volume, Mass & Density • Calculate the density of a load of hardwood with a total volume of 1.85m3 and a mass of 975Kg. Density = Mass Volume Answer; Density = 975 ÷ 1.85 = 527Kg/m3

  6. Volume, Mass & Density • Calculate the volume of timber from the cutting list below. • Calculate the total weight of the timber if the density of the timber is 430kg/m3. • Mass (Weight ) = Volume x Density) • Mass = 0.0756 x 430 • = 32.508kg = x x x x x x = x x = x x x = x

  7. Volume, Mass & Density • Calculate the total mass (weight) of a load of 2 types of timber of the following density: • (a) European Spruce 430kg/m3 • (b) Douglas Fir 527kg/m3 • If 20 planks 4.8m x 225mm x 75mm of each species are to be carried on a lorry • Answer: • Volume of each stack = 20(4.8 x 0.225 x 0.075) • = 1.62m3 • Mass of European Spruce = 1.62 x 430 = 696.6 kg • Mass of Douglas Fir = 1.62 x 527 = 853.74kg Total = 1,550.34kg

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