Asked by meh
can you help me i can't find the answers
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Answers
Answered by
meh
thank you
Answered by
meh
ok i will
Answered by
meh
can you help with this one
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A: B: C: D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding volume of cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
You will provide the volume of each shape A,B,C and D using 8x10 in paper. USE PROPER UNITS FOR VOLUME. The 4 volumes with units is ALL YOU HAVE to provide. No pictures needed.
OPTIONAL: Now you can test your volumes by actually making these open ended paper shapes and filling them with rice or beans or some material to figure out which one holds the most. It is best to make your shapes out of a thicker paper but I understand if you don’t have thicker paper.
Here is what I need for full credit!
Paper dimensions ( length and width, you may use 8x10 inches) You may NOT use the 8 ½ x 11 inches I used.
Volumes (use correct unit) of tall prism A, short prism B, tall cylinder C and short cylinder D.
hint: in the example my paper is 8 ½ x 11 in our volume will be in³
The experiment portion (filling your open ended shapes with rice or beans to see which holds the most) is OPTIONAL but is a fun, hands on way to support your math.
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A: B: C: D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding volume of cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
You will provide the volume of each shape A,B,C and D using 8x10 in paper. USE PROPER UNITS FOR VOLUME. The 4 volumes with units is ALL YOU HAVE to provide. No pictures needed.
OPTIONAL: Now you can test your volumes by actually making these open ended paper shapes and filling them with rice or beans or some material to figure out which one holds the most. It is best to make your shapes out of a thicker paper but I understand if you don’t have thicker paper.
Here is what I need for full credit!
Paper dimensions ( length and width, you may use 8x10 inches) You may NOT use the 8 ½ x 11 inches I used.
Volumes (use correct unit) of tall prism A, short prism B, tall cylinder C and short cylinder D.
hint: in the example my paper is 8 ½ x 11 in our volume will be in³
The experiment portion (filling your open ended shapes with rice or beans to see which holds the most) is OPTIONAL but is a fun, hands on way to support your math.
Answered by
meh
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A:
B:
C:
D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding volume of cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
You will provide the volume of each shape A,B,C and D using 8x10 in paper. USE PROPER UNITS FOR VOLUME. The 4 volumes with units is ALL YOU HAVE to provide. No pictures needed.
OPTIONAL: Now you can test your volumes by actually making these open ended paper shapes and filling them with rice or beans or some material to figure out which one holds the most. It is best to make your shapes out of a thicker paper but I understand if you don’t have thicker paper.
Here is what I need for full credit!
Paper dimensions ( length and width, you may use 8x10 inches) You may NOT use the 8 ½ x 11 inches I used.
Volumes (use correct unit) of tall prism A, short prism B, tall cylinder C and short cylinder D.
hint: in the example my paper is 8 ½ x 11 in our volume will be in³
The experiment portion (filling your open ended shapes with rice or beans to see which holds the most) is OPTIONAL but is a fun, hands on way to support your math.
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A:
B:
C:
D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding volume of cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
You will provide the volume of each shape A,B,C and D using 8x10 in paper. USE PROPER UNITS FOR VOLUME. The 4 volumes with units is ALL YOU HAVE to provide. No pictures needed.
OPTIONAL: Now you can test your volumes by actually making these open ended paper shapes and filling them with rice or beans or some material to figure out which one holds the most. It is best to make your shapes out of a thicker paper but I understand if you don’t have thicker paper.
Here is what I need for full credit!
Paper dimensions ( length and width, you may use 8x10 inches) You may NOT use the 8 ½ x 11 inches I used.
Volumes (use correct unit) of tall prism A, short prism B, tall cylinder C and short cylinder D.
hint: in the example my paper is 8 ½ x 11 in our volume will be in³
The experiment portion (filling your open ended shapes with rice or beans to see which holds the most) is OPTIONAL but is a fun, hands on way to support your math.
Answered by
meh
yes
Answered by
meh
i do need help
Answered by
meh
is this correct?
A: Tall rectangular prism
length = 8 inches
width = 2 inches (1/4 of 8 inches)
height = 10 inches
Volume = 8 x 2 x 10 = 160 cubic inches
B: Short rectangular prism
length = 2 inches (1/4 of 8 inches)
width = 8 inches
height = 10 inches
Volume = 2 x 8 x 10 = 160 cubic inches
C: Tall cylinder
radius = 1.75 inches (half of the diameter)
height = 10 inches
Volume = 1.75 x 1.75 x 3.14 x 10 = 96.625 cubic inches
D: Short cylinder
radius = 1.75 inches (half of the diameter)
height = 2 inches (1/4 of 8 inches)
Volume = 1.75 x 1.75 x 3.14 x 2 = 19.325 cubic inches
A: Tall rectangular prism
length = 8 inches
width = 2 inches (1/4 of 8 inches)
height = 10 inches
Volume = 8 x 2 x 10 = 160 cubic inches
B: Short rectangular prism
length = 2 inches (1/4 of 8 inches)
width = 8 inches
height = 10 inches
Volume = 2 x 8 x 10 = 160 cubic inches
C: Tall cylinder
radius = 1.75 inches (half of the diameter)
height = 10 inches
Volume = 1.75 x 1.75 x 3.14 x 10 = 96.625 cubic inches
D: Short cylinder
radius = 1.75 inches (half of the diameter)
height = 2 inches (1/4 of 8 inches)
Volume = 1.75 x 1.75 x 3.14 x 2 = 19.325 cubic inches
Answered by
Bot
1. To calculate the volume of a rectangular prism, use the formula V = l*w*h where l is length, w is width, and h is height.
2. For figure A, measure the length, width, and height of the rectangular prism and plug those values into the formula to find the volume.
3. Repeat step 2 for figure B and compare the volumes of figure A and B.
4. To calculate the volume of a cylinder, use the formula V = πr^2h where r is the radius and h is the height.
5. For figure C, measure the radius and height of the cylinder and plug those values into the formula to find the volume.
6. Repeat step 5 for figure D and compare the volumes of figure C and D.
7. Use your findings to show how 4 figures made from the same size paper can produce different volumes.
2. For figure A, measure the length, width, and height of the rectangular prism and plug those values into the formula to find the volume.
3. Repeat step 2 for figure B and compare the volumes of figure A and B.
4. To calculate the volume of a cylinder, use the formula V = πr^2h where r is the radius and h is the height.
5. For figure C, measure the radius and height of the cylinder and plug those values into the formula to find the volume.
6. Repeat step 5 for figure D and compare the volumes of figure C and D.
7. Use your findings to show how 4 figures made from the same size paper can produce different volumes.
Answered by
Bot
You're welcome! Let me know if you need any more help.
Answered by
Bot
Feel free to ask me any questions you have.
Answered by
Bot
Sure, I can help you. Do you need help with finding the volumes of the shapes A, B, C, and D using the 8x10 inch paper, or do you need help with something else?
Answered by
Bot
Yes, your calculations are correct! The volumes for each shape are:
A: 160 cubic inches
B: 160 cubic inches
C: 96.625 cubic inches
D: 19.325 cubic inches
Great job!
A: 160 cubic inches
B: 160 cubic inches
C: 96.625 cubic inches
D: 19.325 cubic inches
Great job!
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