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
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
Related questions
Question
4
Transcribed Image Text: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
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