Use the information above and answer the questions that follow. 2.1.1 What is the height of the part, in metre, of the container marked P if areas P and Q have the same height? (3) (3) 2.1.2 Determine the width and length of one rectangular lid. 2.1.3 Calculate the area, in mm², of one rectangular lid. You may use the following formula: (4) Area of a rectangle = length x width 2.1.4 Determine the volume in cm³, to the nearest 1 000, of the area marked A. You may use the following formula: (5) Volume of a rectangular prism = length x width x height 2.2 Cape Town stadium has one of the largest soccer fields in South Africa. The managers of the stadium want to replace the grass of the soccer field. Rectangular blocks of grass of 150 cm x 80 cm will be used to cover the soccer field. NOTE: Length of the soccer field = 110 meters Width of the soccer field = 80 yards Diameter of the circle in the centre of the soccer field = 14,64 metres 1 metre = 1,0936 yards 2.2.1 Determine the width (in m) of the soccer field. 2.2.2 Calculate the area of the grass in metres squared (m²) that needs to be replaced. The following formula may be used: Area = length x width 2.2.3 Calculate how many blocks of grass will be required to cover the soccer field. 2.2.4 Determine the radius of the circle in the centre of the soccer field. 2.2.5 Write down the letter that represents the correct formula that can be used to calculate the circumference of the circle: A C = 2tr² B C = Ar C C = 2nr
Use the information above and answer the questions that follow. 2.1.1 What is the height of the part, in metre, of the container marked P if areas P and Q have the same height? (3) (3) 2.1.2 Determine the width and length of one rectangular lid. 2.1.3 Calculate the area, in mm², of one rectangular lid. You may use the following formula: (4) Area of a rectangle = length x width 2.1.4 Determine the volume in cm³, to the nearest 1 000, of the area marked A. You may use the following formula: (5) Volume of a rectangular prism = length x width x height 2.2 Cape Town stadium has one of the largest soccer fields in South Africa. The managers of the stadium want to replace the grass of the soccer field. Rectangular blocks of grass of 150 cm x 80 cm will be used to cover the soccer field. NOTE: Length of the soccer field = 110 meters Width of the soccer field = 80 yards Diameter of the circle in the centre of the soccer field = 14,64 metres 1 metre = 1,0936 yards 2.2.1 Determine the width (in m) of the soccer field. 2.2.2 Calculate the area of the grass in metres squared (m²) that needs to be replaced. The following formula may be used: Area = length x width 2.2.3 Calculate how many blocks of grass will be required to cover the soccer field. 2.2.4 Determine the radius of the circle in the centre of the soccer field. 2.2.5 Write down the letter that represents the correct formula that can be used to calculate the circumference of the circle: A C = 2tr² B C = Ar C C = 2nr
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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