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Alex777 [14]
2 years ago
7

Brian is drawing a scale diagram of a building. for every 10 m of the building he draws a line 5 cm long. Bryn thinks he is usin

g a ratio of 2:1. Alun thinks Bryn is using a ratio of 200:1, is either of them correct? explain your answer ​
Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

Answer:

200:1, Bryn is correct.

Step-by-step explanation:

Each 10 m is represented by a 5cm length on the diagram.  We first note that 100 cm = 1 meter.   5 cm is (0.5 cm)*(1 meter/100 cm) =0.05 meters.

The 0.05 meters on the diagram represents 10 meters on the actual building.  The ratio is (10 meters/0.05 meters) or 200:1.  This is what Bryn believes is the ratio.  

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PL HELP !!!!!!!!!Chris is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet d
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The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.

Step-by-step explanation:

The given is,

              Dimensions of supply box - 1.5 feet tall, 1 foot wide, and 2 feet deep

              Dimensions of crate - 9 feet high, 10 feet wide, and 10 feet deep

Step:1

             Volume of supply box,

                                 V_{Box} = whl.............................(1)

            Where, w - Width of box

                          h - Height of box

                           l - Length of box

            From the given,

                         h = 1.5 feet

                         w = 1 foot

                           l = 2 feet

            Equation (1) becomes,

                       V_{Box} = (1.5)(1)(2)

                                = 3 cubic feet

                      V_{Box} =3 cubic feet

Step:2

            Volume of crate,

                                 V_{crate} = whl.............................(1)

            Where, w - Width of box

                          h - Height of box

                           l - Length of box

            From the given,

                         h = 9 feet

                         w = 10 foot

                           l = 10 feet

            Equation (1) becomes,

                       V_{Box} = (9)(10)(10)

                                = 900 cubic feet

                      V_{Box} =900 cubic feet

Step:3

            No. of boxes can pack in the crate,

                                               = \frac{Volume of crate}{Volume supply box}

                                               = \frac{900}{3}

                                               = 300 supply boxes

Result:

             The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.

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