Maths Quest A Year 11 for Queensland Chapter 4 Length, area and volume WorkSHEET 4.2 5
WorkSHEET 4.2 Length, area and volume Name: ______
Maths Quest A Year 11 for Queensland Chapter 4 Length, area and volume WorkSHEET 4.2 5
1 / Determine the perimeter of the largest rectangular Cola advertisement in central Sydney. It has an area of 90 m2 and side length of 10 m. / 22 / Find the total surface area of the prism shown.
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3 / A sector with an angle of 150° is cut out from a circle with a diameter of 20 cm. Calculate the arc length of the remaining major sector to the nearest cm.
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4 / Find the volume of the triangular prism shown.
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5 / Calculate the area of a triangle with side lengths 5, 6 and 8 using Heron’s formula:
A = where
s = (a + b + c).
State your answer to the nearest cm2.
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6 / Find the area of this trapezium.
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7 / A metal rubbish bin is cylindrical in design with one end opened. Using the dimensions shown on the diagram, calculate the total surface area (TSA) of the metal used to the nearest cm2.
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8 / A tennis ball has a surface area of 160 cm2.
Determine whether it will fit through a circular hole with a diameter of 6.5 cm. / 3
9 / Find the area of the shaded part in the diagram below.
10 / Find the area of the shaded sector to the nearest cm2.
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11 / Find the total surface area (TSA) of the triangular prism to the nearest cm2.
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12 / A sector with an angle of 150° is cut out from a circle with diameter of 16 cm. Calculate the arc length of the remaining major sector to the nearest cm.
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13 / Find the volume of the triangular prism shown.
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14 / A hemispherical bowl with a diameter of 70 cm is used to hold a 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.
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15 / Find the volume of the cone with a diameter of 15 cm and height of 20 cm to the nearest cm3.
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