Judy's BOB

THE SURFACE AREA OF A RECTANGULAR PRISM
1.what is surface area?
surface area is the total area of the outside of a 3-D shape

2. how do you find the surface area?

first take your shape, and draw what it
would look like if it were opened and laid out:










Then measure the sides,
and find the area of each separate square (or rectangle)
.... suppose the sides are all 2cm long.
The formula to find the area of a square is
Length x Width so the area of each square would be 4cm²



Finally, use the formula to find the surface area.
you can either use:

(area = a)
a+a+a+a+a+a= surface area
4cm²+4cm²+4cm²+4cm²+4cm²+4cm²= 24cm²
OR
2 (HxL)+ 2(HxW)+ 2(LxW)
2(2x2)+ 2(2x2)+ 2(2x2)
2(4)+2(4)+2(4)=
8cm+8cm+8cm= 24cm²
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THE VOLUME OF A RECTANGULAR PRISM

1. what is volume?
the amount of space an object takes up. in this case, a rectangular prism

2. How do you find the volume?


take a rectangular prism, and measure
it's length, width, and depth (also called height)









Then use the formula to find out the volume. You can use:
length x width x depth
3cm x 5cm x 2 cm
=30cm³
OR
Area of base x depth
(3cm x 5cm) x 2cm
15cm² x 2cm= 30cm³

judy's scribe

Today in class, we finished our "Word Problems" tab in our Pythagoras book. We added 3 more word problems, known as problem A, problem B, and the bonus problem. I'm going to scribe about problem B:
You’ve just picked up a ground ball at first base, and you see the other team’s player running towards third base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out?

What are we trying to find? The distance from the first base to the third base.

1/2 of the diamond is a right angle triangle, and the length of two sides are given. That means we can use the Pythagorean theorem to find the distance from first base to third base.

(The side that we are trying to find is across the right angle, so it's the hypotenuse, c.)
formula to find the hypotenuse:
a² + b² = c²
we know that...
a=90
b=90
c=?
plug in the numbers, and follow the formula:
a² + b² = c²
90²+ 90²= c²
8100+8100=c²
16 200=c²
..........then you have to find the square root of 16 200 to find the square root of c², which is c
√16 200 = √c²
127.27= c

You'll have to throw the ball 127.27ft to get it from first base to third base.

Judy's Pythagoras Growing Post

Question 1

What is a Pythagorean Triple?
Three unknown numbers, a, b, and c that satisfy a2+b2=c2 is a pythagorean triple.

example:
a=6 b=8 c=10
a2+b2=c2
6(squared)+8(squared)=10(squared)
36+64=100
100=100






Question 2
BubbleShare: Share photos



BubbleShare: Share photos
question 3

Problem B

You’ve just picked up a ground ball at first base, and you see the other team’s player running towards third base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out?

What are we trying to find? The distance from the first base to the third base.

1/2 of the diamond is a right angle triangle, and the length of two sides are given. That means we can use the Pythagorean theorem to find the distance from first base to third base.

(The side that we are trying to find is across the right angle, so it's the hypotenuse, c.)
formula to find the hypotenuse:
a² + b² = c²
we know that...
a=90
b=90
c=?
plug in the numbers, and follow the formula:
a² + b² = c²
90²+ 90²= c²
8100+8100=c²
16 200=c²
..........then you have to find the square root of 16 200 to find the square root of c², which is c
√16 200 = √c²
127.27= c

You'll have to throw the ball 127.27ft to get it from first base to third base.








Question 4
Timothy is fishing at camp Lots-of-Fun :). His fishing pole is 3ft long, and it's line is 4ft. Suddenly, he feels something pulling on his line, and realizes he caught a fish. How far is Timothy from the fish?