In New Zealand, the Department of Housing is trying to modernise the house plans for all new houses being built. The owner of a house decides to use a part of the garage as a storage area for boxes. The storage boxes have the following dimensions. Diagram of box: 0,4 m 0,7 m 0,4 m Each of the boxes has similar dimensions (0,4 m x 0,7 m x 0,4 m) occupying a rectangular area of the garage with dimensions 3 m x 2 m as shown by the sketches below: Diagram of storage area with some of the boxes (diagram not drawn to scale): 2 m 3 m Determine the maximum number of boxes that will fit within the length and width of the designated area. 2 If the owner stacks 2 boxes on top of each other, calculate how many storage boxes will fit in the designated area. The owner is looking at five different designs of tiles, which she likes equally. She numbers the tiles and then writes the numbers on a piece of paper and throws the pieces of paper into a bag. She then randomly draws a number from the bag to help her decide from the list of the 5 tile designs below:
In New Zealand, the Department of Housing is trying to modernise the house plans for all new houses being built. The owner of a house decides to use a part of the garage as a storage area for boxes. The storage boxes have the following dimensions. Diagram of box: 0,4 m 0,7 m 0,4 m Each of the boxes has similar dimensions (0,4 m x 0,7 m x 0,4 m) occupying a rectangular area of the garage with dimensions 3 m x 2 m as shown by the sketches below: Diagram of storage area with some of the boxes (diagram not drawn to scale): 2 m 3 m Determine the maximum number of boxes that will fit within the length and width of the designated area. 2 If the owner stacks 2 boxes on top of each other, calculate how many storage boxes will fit in the designated area. The owner is looking at five different designs of tiles, which she likes equally. She numbers the tiles and then writes the numbers on a piece of paper and throws the pieces of paper into a bag. She then randomly draws a number from the bag to help her decide from the list of the 5 tile designs below:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(as shown in Diagram 3 from above), each with one coat of paint.
Question 4
In New Zealand, the Department of Housing is trying to modernise the house plans for
all new houses being built.
The owner of a house decides to use a part of the garage as a storage area for boxes.
The storage boxes have the following dimensions.
Diagram of box:
0,4 m
0,7 m
0,4 m
Each of the boxes has similar dimensions (0,4 m x 0,7 m x 0,4 m) occupying a
rectangular area of the garage with dimensions 3 m x 2 m as
shown by the sketches below:
Diagram of storage area with some of the boxes (diagram not drawn to scale):
2 m
3m
Determine the maximum number of boxes that will fit within the length and width
of the designated area.
2 If the owner stacks 2 boxes on top of each other, calculate how many storage boxes
will fit in the designated area.
The owner is looking at five different designs of tiles, which she likes equally. She numbers
the tiles and then writes the numbers on a piece of paper and throws the pieces of paper into a
bag. She then randomly draws a number from the bag to help her decide from the list of the 5
tile designs below:
Transcribed Image Text:beige tile with brown speckles
plain white tile
beige tile with brown stripes
plain brown tike
back tile with white spots
3 Determine the probability that the owner randomly chooses a tile that has
the colour brown in it.
44 Calulate the probability of her picking a tile containing either two colours
or a tile with only one colour.
Question 5
Mis Pillay would like to create a mosaic border around her bathroom mirror as shown in
the diagram below.
145 cm
Mosaic border
Mirror
75 cm
Diagram not drawn to scale
The dimensions of one square mosaic tile are 25 mm by 25 mm.
5.1 Calculate the perimeter of the mirror.
(3)
5.2 Calculate how many mosaic tiles Mrs Pillay will need in order to create her border?
(4)
5.3 If Mrs Pillay decides to create a second row of mosaic tiles for her border, calculate the
total number of tiles she would need then.
(5)
5.4 The shop sells mosaic tiles in boxes of 20. Calculate how many boxes Mrs Pillay will
aced to buy if she creates two rows of mosaic tiles.
(2)
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