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The Bumbanani Crèche in Bethlehem bought the cubic blocks below from an auction. They have a side length of 45 cm. On two opposite sides of the block is a circular hole in the face of the block. They want to use the blocks as chairs for the children. Face without bole Dimensions: Length: 45 cm Radius of the hole: 9,5 cm O Face with hole They intend painting the chairs green with Dulux all-purpose paint. (a) Calculate the area (in cm2) of ONE of the faces of the block that does not have a circular hole. You may use the following formula: Area of square= side x side (b) Show that the total surface area (area of the faces with circular holes + area of the faces without circular holes) = 11 582,869 cm². You may use the following formula: Area of circle = x radius², and using = 3,142 The paint has a spread rate of 1,8 ml of paint per 15 cm². Calculate the total amount of paint, rounded to the nearest¹ litre, needed to paint 12 chairs with ONE coat of paint. The paint is sold in 5 l tins. Each tin has a radius of 7 cm and a height of 35 cm. Height of tin 50=5 000 cm³ Height of paint in tin (a) Write down the diameter of the tin. (b) Calculate the height of the paint in the tin: You may use the following formula: Volume of a cylinder = x (radius)2 x height, where * = 3,142

The Bumbanani Crèche in Bethlehem bought the cubic blocks below from an auction. They have a side length of 45 cm. On two opposite sides of the block is a circular hole in the face of the block. They want to use the blocks as chairs for the children. Face without bole Dimensions: Length: 45 cm Radius of the hole: 9,5 cm O Face with hole They intend painting the chairs green with Dulux all-purpose paint. (a) Calculate the area (in cm2) of ONE of the faces of the block that does not have a circular hole. You may use the following formula: Area of square= side x side (b) Show that the total surface area (area of the faces with circular holes + area of the faces without circular holes) = 11 582,869 cm². You may use the following formula: Area of circle = x radius², and using = 3,142 The paint has a spread rate of 1,8 ml of paint per 15 cm². Calculate the total amount of paint, rounded to the nearest¹ litre, needed to paint 12 chairs with ONE coat of paint. The paint is sold in 5 l tins. Each tin has a radius of 7 cm and a height of 35 cm. Height of tin 50=5 000 cm³ Height of paint in tin (a) Write down the diameter of the tin. (b) Calculate the height of the paint in the tin: You may use the following formula: Volume of a cylinder = x (radius)2 x height, where * = 3,142

Elementary Geometry For College Students, 7e
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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The Bambanani Créche in Bethlehem bought the cubic blocks below from an auction. They have a side length of 45 cm. On two opposite sides of the block is a circular hole in the face of the block. They want to use the blocks as chairs for the children. Face without bole Dimensions: 45 cm Length: Radius of the hole: 9,5 cm Face with hole 1.1.1 They intend painting the chairs green with Dulux all-purpose paint. (a) Calculate the area (in cm?) of ONE of the faces of the block that does not have a circular hole. You may use the following formula: Area of square = side x side (3) (b) Show that the total surface area (area of the faces with circular holes + area of the faces without circular holes) = 11 582,869 cm2. You may use the following formula: Area of circle = a x radius², and using n = 3,142 (5) (c) The paint has a spread rate of 1,8 ml of paint per 15 cm2. Calculate the total amount of paint, rounded to the nearest' litre, needed to paint 12 chairs with ONE coat of paint. (4) The paint is sold in 5 l tins. Each tin has a radius of 7 cm and a height of 35 cm. Height of tin 5t=5000 cm³ Height of paint in tin (a) Write down the diameter of the tin. (b) Calculate the height of the paint in the tin: You may use the following formula: Volume of a cylinder nx (radius) x height, where a 3,142 Please turn over
Transcribed Image Text:The Bambanani Créche in Bethlehem bought the cubic blocks below from an auction. They have a side length of 45 cm. On two opposite sides of the block is a circular hole in the face of the block. They want to use the blocks as chairs for the children. Face without bole Dimensions: 45 cm Length: Radius of the hole: 9,5 cm Face with hole 1.1.1 They intend painting the chairs green with Dulux all-purpose paint. (a) Calculate the area (in cm?) of ONE of the faces of the block that does not have a circular hole. You may use the following formula: Area of square = side x side (3) (b) Show that the total surface area (area of the faces with circular holes + area of the faces without circular holes) = 11 582,869 cm2. You may use the following formula: Area of circle = a x radius², and using n = 3,142 (5) (c) The paint has a spread rate of 1,8 ml of paint per 15 cm2. Calculate the total amount of paint, rounded to the nearest' litre, needed to paint 12 chairs with ONE coat of paint. (4) The paint is sold in 5 l tins. Each tin has a radius of 7 cm and a height of 35 cm. Height of tin 5t=5000 cm³ Height of paint in tin (a) Write down the diameter of the tin. (b) Calculate the height of the paint in the tin: You may use the following formula: Volume of a cylinder nx (radius) x height, where a 3,142 Please turn over
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