1. Determine the volume of a cube with sides of 30 mm. Express your answer in cm. 2. Calculate the volume of the following rectangular blocks: (a) length 40 cm; heighth 30 cm; width 15 cm. (b) length 1,5 m; height 0,3 m; width 50 cm. Express your answers in standard form, first in cm³, then in m³. 3. A storage bin is 2 m long with vertical sides and a cross-section in the form of a trapezium as shown. What is the capacity of the bin? 1,5 m 1,2 m 1 m 4. What is the mass per running metre of a copper bar with a uniform cross-section in the form of a triangle as shown in the figure? The density of copper is 8 850 kg/m³. 10 mm 15 mm 5. Find the volume of the following cylinders: (a) Diameter 150 mm; height 100 mm. (b) Diameter 0,57 m; height 1,62 m. (c) Diameter 25 cm; height 1 m. 6. A cylinder is 100 mm long and has a volume of 8 x 10 mm². Determine the diameter. 7. A steel spacer ring 0,2 m thick has an outside diameter of 1,5 m and an inside diameter of 1,3 m. Calculate the volume of steel required to manufacture this ring. 8. A cylindrical can has a diameter of 20 cm and a height of 30 cm. How many litres does it hold? (18 = 10³ cm³) Samsung Quad Camera Shot with my Galaxy A33 5G 13
1. Determine the volume of a cube with sides of 30 mm. Express your answer in cm. 2. Calculate the volume of the following rectangular blocks: (a) length 40 cm; heighth 30 cm; width 15 cm. (b) length 1,5 m; height 0,3 m; width 50 cm. Express your answers in standard form, first in cm³, then in m³. 3. A storage bin is 2 m long with vertical sides and a cross-section in the form of a trapezium as shown. What is the capacity of the bin? 1,5 m 1,2 m 1 m 4. What is the mass per running metre of a copper bar with a uniform cross-section in the form of a triangle as shown in the figure? The density of copper is 8 850 kg/m³. 10 mm 15 mm 5. Find the volume of the following cylinders: (a) Diameter 150 mm; height 100 mm. (b) Diameter 0,57 m; height 1,62 m. (c) Diameter 25 cm; height 1 m. 6. A cylinder is 100 mm long and has a volume of 8 x 10 mm². Determine the diameter. 7. A steel spacer ring 0,2 m thick has an outside diameter of 1,5 m and an inside diameter of 1,3 m. Calculate the volume of steel required to manufacture this ring. 8. A cylindrical can has a diameter of 20 cm and a height of 30 cm. How many litres does it hold? (18 = 10³ cm³) Samsung Quad Camera Shot with my Galaxy A33 5G 13
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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