Using the math formula chart for measurement

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Using the math formula chart
for measurement
Part 2 Applications
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.
Let’s first talk about the centimeter
ruler.
The longest line refers to the centimeter.
1
2
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.
3
Let’s use the centimeter ruler to do
an actual TAKS problem.
You have on your paper the same problem
as shown here.
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.
Which of the following best represents the
dimensions of the rectangular prism?
F.
G.
H.
J.
7.5 cm by 1.5 cm by 3.0 cm
10.5 cm by 1.5 cm by 9.0 cm
10.5 cm by 3.0 cm by 9.0 cm
7.5 cm by 3.0 cm by 3.0 cm
You should find the centimeter
ruler on the formula chart.
We would
need
to measure
length.
Before
you
just
start measuring
everything,
We
need
measure
width.
youwould
need
totofigure
out
what this figure
And
we would
needlike
to measure
actually
looks
when height
it is together.
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.
Here are your options, again. Which
answer choice is best?
Which of the following best represents
the dimensions of the rectangular prism?
F.
G.
H.
J.
7.5 cm by 1.5 cm by 3.0 cm
10.5 cm by 1.5 cm by 9.0 cm
10.5 cm by 3.0 cm by 9.0 cm
7.5 cm by 3.0 cm by 3.0 cm
Hopefully,
you selected
F as the best
choice.
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.
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
Give this one a try
on your own, first.
What is the total
surface area of this
cylinder to the
nearest square
centimeter?
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 = 2πr(h
+ phrase
r)
First,
circle the
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.
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
So, do you have an
answer?
What is the total
surface area of this
cylinder to the
nearest square
centimeter?
☺
Added problem.
V = Bh
The base is a circle so
V = πr2h
V = π(1.7 cm)2(7 cm)
= 63.55 cm3
Which of the following best represents the volume of this cylinder?
A
B
C
D
110 cm3
94 cm3
75 cm3
64 cm3
Try the next two problems on your
own. We’ll go over them in a few
minutes—just to check that you
worked them out correctly.
Perfect practice makes perfect.
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
triangle—need measures of a 3 sides
h is height of prism—triangles are
NOT attached to height
B is area of Base—Base is
triangle—height of triangle times base
of triangle (they form the right angle)
divided by 2
V = Bh
Added problem:
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 represent
the volume of this right triangular
prism?
☺F
G
H
J
18 cm3
60 cm3
48 cm3
36 cm3
This problem is a bit different.
Last one!
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
Thank you FOR TRYING!
ACHIEVE TAKS SUCCESS!!!
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