Using the math formula chart for measurement

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Using the math formula chart for measurement

• Part 2 Applications

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Yesterday, we spoke about conversions on the
formula chart.

• We also spoke about the inch-ruler that was on
  the chart and did a problem requiring us to
  measure with that ruler.
• Today, we are going to concentrate on the
  centimeter ruler. More questions on the released
  TAKS tests have use metrics. In addition, only
  the metric ruler is on your science formula chart.

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Lets first talk about the centimeter ruler.

• The longest line refers to the centimeter.

Since there are 10 millimeters in a centimeter,
each centimeter is divided into ten equal-sized
spaces.
Each of those slash marks represents a tenth of a
centimeter.
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Lets use the centimeter ruler to do an actual
TAKS problem.

• You have on your paper the same problem as shown
  here.

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This question was 60 on the Feb 2006 Exit
Level TAKS test.

• Use the ruler on the Mathematics Chart to measure
  the dimensions of the net of the rectangular
  prism shown below to the nearest tenth of a
  centimeter.

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Which of the following best represents the
dimensions of the rectangular prism?

• F. 7.5 cm by 1.5 cm by 3.0 cm
• G. 10.5 cm by 1.5 cm by 9.0 cm
• H. 10.5 cm by 3.0 cm by 9.0 cm
• J. 7.5 cm by 3.0 cm by 3.0 cm

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You should find the centimeter ruler on the
formula chart.

• Before you just start measuring everything, you
  need to figure out what this figure actually
  looks like when it is together.

We would need to measure length.
We would need to measure width.
And we would need to measure height
The figure is a rectangular prism. Its dimensions
would have length, width, and height.
Right now, measure the dimensions and record them
on your paper.
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Here are your options, again. Which answer choice
is best?

• Which of the following best represents
• the dimensions of the rectangular prism?
• F. 7.5 cm by 1.5 cm by 3.0 cm
• G. 10.5 cm by 1.5 cm by 9.0 cm
• H. 10.5 cm by 3.0 cm by 9.0 cm
• J. 7.5 cm by 3.0 cm by 3.0 cm

Hopefully, you selected F as the best choice.
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Many of the questions requiring measurement have
asked for volume or surface area.

• You will need to look at the formula chart for
  the necessary formula as well as for the ruler.

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Apr 04 38 The net of a cylinder is shown below.
Use the ruler on the Mathematics Chart to measure
the dimensions of the cylinder to the nearest
tenth of a centimeter
What is the total surface area of this cylinder
to the nearest square centimeter?
Give this one a try on your own, first.
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Apr 04 38 The net of a cylinder is shown below.
Use the ruler on the Mathematics Chart to measure
the dimensions of the cylinder to the nearest
tenth of a centimeter
What is the total surface area of this cylinder
to the nearest square centimeter?
S 2pr(h r)
First, circle the phrase that tells us what we
are looking for---total surface area.
Next, look on the chart for the corresponding
formula for a cylinder. Copy that formula on your
paper.
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Apr 04 38 The net of a cylinder is shown below.
Use the ruler on the Mathematics Chart to measure
the dimensions of the cylinder to the nearest
tenth of a centimeter
What is the total surface area of this cylinder
to the nearest square centimeter?
Height
S 2pr(h r)
Now, find the radius (r) and the height of the
cylinder (h) on the net. Mark them.
The height of a cylinder will NEVER have the
circles attached.
The radius is easy on this oneit is already
marked.
Be careful on that height!!!!!
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Apr 04 38 The net of a cylinder is shown below.
Use the ruler on the Mathematics Chart to measure
the dimensions of the cylinder to the nearest
tenth of a centimeter
What is the total surface area of this cylinder
to the nearest square centimeter?
So, do you have an answer?
?
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Added problem.

• V Bh
• The base is a circle so
• V pr2h
• V p(1.7 cm)2(7 cm)
• 63.55 cm3

Which of the following best represents the volume
of this cylinder? A 110 cm3 B 94 cm3 C 75
cm3 D 64 cm3
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Try the next two problems on your own. Well go
over them in a few minutesjust to check that you
worked them out correctly.

• Perfect practice makes perfect.

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25 The net of a right triangular prism is shown
below. Use the ruler on the Mathematics Chart to
measure the dimensions of the right triangular
prism to the nearest centimeter.
Find the total surface area of this right
triangular prism to the nearest square
centimeter?
TSA Ph 2B P is perimeter of Base, B
is rt triangleneed measures of a 3 sides
h is height of prismtriangles are NOT attached
to height B is area of BaseBase is
triangleheight of triangle times base of
triangle (they form the right angle) divided by 2
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For the triangular base h 4 cm, b 3 cm,
hypotenuse 5 cm (Pythagorean triple!), P 12
cm, B (4 cm)(3 cm)/2 6 cm2 For the prism h
3 cm
TSA Ph 2B (12 cm)(3 cm) 2(6cm2)
48 cm2
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For the triangular base h 4 cm, b 3 cm,
hypotenuse 5 cm (Pythagorean triple!), P 12
cm, B (4 cm)(3 cm)/2 6 cm2 For the prism h
3 cm
TSA Ph 2B (12 cm)(3 cm) 2(6cm2)
48 cm2
?
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Added problem
V Bh Base is a triangle so V (bhT /2)hP
((3 cm)(4 cm)/2)(3cm) 18 cm3
Use the same net above. Which of the following
best represents the volume of this right
triangular prism? F 18 cm3 G 60 cm3 H 48
cm3 J 36 cm3
?
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Last one!

• This problem is a bit different.
• Did you see the word regular?

That word indicates that all of the sides of the
pyramid have the same length.
We can now find the area of ONE triangle,
multiply it by 4, and have the total area.
A (bh)/2 ((3 cm)(2.7 cm))/2 4.05 cm2
?
TA 4(4.05 cm2) 16.2 cm2
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• Thank you for coming today.
• Remember to come on Wednesdays and Thursdays for
  the next 4 weeks.
• We will have something new each time!
• ACHIEVE TAKS SUCCESS!!!