TopicName Test - Jacaranda



WorkSHEET 4.2 Length, area and volume Name: ___________________________

| |Determine the perimeter of the largest rectangular Cola advertisement | |2 |

| |in central Sydney. It has an area of 90 m2 and side length of 10 m. | | |

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| | | | |

| |Find the total surface area of the prism shown. | |2 |

| | | | |

| |[pic] | | |

| |A sector with an angle of 150° is cut out from a circle with a | |1 |

| |diameter of 20 cm. Calculate the arc length of the remaining major | | |

| |sector to the nearest cm. | | |

| | | | |

| |[pic] | | |

| |Find the volume of the triangular prism shown. | |3 |

| | | | |

| |[pic] | | |

| | | | |

| |Calculate the area of a triangle with side lengths 5, 6 and 8 using | |2 |

| |Heron’s formula: | | |

| |A = [pic] where | | |

| |s = [pic](a + b + c). | | |

| |State your answer to the nearest cm2. | | |

| | | | |

| |[pic] | | |

| |Find the area of this trapezium. | |1 |

| | | | |

| |[pic] | | |

| |A metal rubbish bin is cylindrical in design with one end opened. | |2 |

| |Using the dimensions shown on the diagram, calculate the total surface| | |

| |area (TSA) of the metal used to the nearest cm2. | | |

| |[pic] | | |

| | | | |

| |A tennis ball has a surface area of 160 cm2. | |3 |

| |Determine whether it will fit through a circular hole with a diameter | | |

| |of 6.5 cm. | | |

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| |Find the area of the shaded part in the diagram below. | | |

| |[pic] | | |

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| |Find the area of the shaded sector to the nearest cm2. | |1 |

| | | | |

| |[pic] | | |

| | | | |

| |Find the total surface area (TSA) of the triangular prism to the | |2 |

| |nearest cm2. | | |

| | | | |

| |[pic] | | |

| | | | |

| |A sector with an angle of 150° is cut out from a circle with diameter | |1 |

| |of 16 cm. Calculate the arc length of the remaining major sector to | | |

| |the nearest cm. | | |

| | | | |

| |[pic] | | |

| |Find the volume of the triangular prism shown. | |2 |

| | | | |

| |[pic] | | |

| |A hemispherical bowl with a diameter of 70 cm is used to hold a | |2 |

| |pre-mixed fruit drink for a party. If you want to fill it to the brim,| | |

| |how many litres of pre-mixed drink can you fill in? Give your answer | | |

| |to the nearest litre. | | |

| | | | |

| |[pic] | | |

| |Find the volume of the cone with a diameter of 15 cm and height of 20 | |2 |

| |cm to the nearest cm3. | | |

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| |[pic] | | |

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