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The volume of a child's model plane is 1200 cm^3. The volume of a full size plane is 4050 m^3. Find the scale of the model in the form 1:n.
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The volume of a child's model plane is 1200 cm^3. The volume of a full size plane is 4050 m^3. Find the scale of the model in the form 1:n.
(I thought of first converting the 4050 m^3 to cm^3, giving me 4050000000 cm^3. Then, I divided the number by 1200: reversing the order of conversion. So, my final answer was 1: 3375000. However, the answer in the mark scheme is 150)
volume
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user608398
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up vote
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down vote
favorite
The volume of a child's model plane is 1200 cm^3. The volume of a full size plane is 4050 m^3. Find the scale of the model in the form 1:n.
(I thought of first converting the 4050 m^3 to cm^3, giving me 4050000000 cm^3. Then, I divided the number by 1200: reversing the order of conversion. So, my final answer was 1: 3375000. However, the answer in the mark scheme is 150)
volume
asked 1 hour ago
user608398
183
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1:3 000 000 is a scale best used in a (small) world atlas. It would fit most of the island of Great Britain into an A4 page.
– Arthur
44 mins ago
add a comment |Â
up vote
3
down vote
favorite
up vote
3
down vote
favorite
The volume of a child's model plane is 1200 cm^3. The volume of a full size plane is 4050 m^3. Find the scale of the model in the form 1:n.
(I thought of first converting the 4050 m^3 to cm^3, giving me 4050000000 cm^3. Then, I divided the number by 1200: reversing the order of conversion. So, my final answer was 1: 3375000. However, the answer in the mark scheme is 150)
volume
asked 1 hour ago
user608398
183
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
The volume of a child's model plane is 1200 cm^3. The volume of a full size plane is 4050 m^3. Find the scale of the model in the form 1:n.
(I thought of first converting the 4050 m^3 to cm^3, giving me 4050000000 cm^3. Then, I divided the number by 1200: reversing the order of conversion. So, my final answer was 1: 3375000. However, the answer in the mark scheme is 150)
volume
volume
asked 1 hour ago
user608398
183
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
user608398
183
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
user608398
183
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
user608398
183
asked 1 hour ago
user608398
183
183
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
user608398 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1:3 000 000 is a scale best used in a (small) world atlas. It would fit most of the island of Great Britain into an A4 page.
– Arthur
44 mins ago
add a comment |Â
1:3 000 000 is a scale best used in a (small) world atlas. It would fit most of the island of Great Britain into an A4 page.
– Arthur
44 mins ago
1:3 000 000 is a scale best used in a (small) world atlas. It would fit most of the island of Great Britain into an A4 page.
– Arthur
44 mins ago
1:3 000 000 is a scale best used in a (small) world atlas. It would fit most of the island of Great Britain into an A4 page.
– Arthur
44 mins ago
add a comment |Â
2 Answers
2
active
oldest
votes
up vote
3
down vote
accepted
Your idea was almost correct, but remember that the scaling will be in terms of length, so you should take the cube root of your answer of 3375000.
answered 1 hour ago
Sam Streeter
543113
Oh right, thanks a lot!
– user608398
42 mins ago
add a comment |Â
up vote
2
down vote
Start with simpler shapes and simpler ratios to get the idea.
Say there is a real cube measuring $1times 1times 1$ meters, and I have a model of it in the scale $1:2$. Then my model will measure $frac12timesfrac12timesfrac12$ meters. What is the ratio of volumes between my model cube and the real cube? What if my model was $1:3$?
See if you can use these simple examples to figure out the general pattern that links the model scale to the ratio of volumes. Then, from your ratio of volumes, deduce the scale.
answered 1 hour ago
Arthur
105k799183
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
Your idea was almost correct, but remember that the scaling will be in terms of length, so you should take the cube root of your answer of 3375000.
answered 1 hour ago
Sam Streeter
543113
Oh right, thanks a lot!
– user608398
42 mins ago
add a comment |Â
up vote
3
down vote
accepted
Your idea was almost correct, but remember that the scaling will be in terms of length, so you should take the cube root of your answer of 3375000.
answered 1 hour ago
Sam Streeter
543113
Oh right, thanks a lot!
– user608398
42 mins ago
add a comment |Â
up vote
3
down vote
accepted
up vote
3
down vote
accepted
Your idea was almost correct, but remember that the scaling will be in terms of length, so you should take the cube root of your answer of 3375000.
answered 1 hour ago
Sam Streeter
543113
Your idea was almost correct, but remember that the scaling will be in terms of length, so you should take the cube root of your answer of 3375000.
answered 1 hour ago
Sam Streeter
543113
answered 1 hour ago
Sam Streeter
543113
answered 1 hour ago
Sam Streeter
543113
answered 1 hour ago
Sam Streeter
543113
543113
Oh right, thanks a lot!
– user608398
42 mins ago
add a comment |Â
Oh right, thanks a lot!
– user608398
42 mins ago
Oh right, thanks a lot!
– user608398
42 mins ago
Oh right, thanks a lot!
– user608398
42 mins ago
add a comment |Â
up vote
2
down vote
Start with simpler shapes and simpler ratios to get the idea.
Say there is a real cube measuring $1times 1times 1$ meters, and I have a model of it in the scale $1:2$. Then my model will measure $frac12timesfrac12timesfrac12$ meters. What is the ratio of volumes between my model cube and the real cube? What if my model was $1:3$?
See if you can use these simple examples to figure out the general pattern that links the model scale to the ratio of volumes. Then, from your ratio of volumes, deduce the scale.
answered 1 hour ago
Arthur
105k799183
add a comment |Â
up vote
2
down vote
Start with simpler shapes and simpler ratios to get the idea.
Say there is a real cube measuring $1times 1times 1$ meters, and I have a model of it in the scale $1:2$. Then my model will measure $frac12timesfrac12timesfrac12$ meters. What is the ratio of volumes between my model cube and the real cube? What if my model was $1:3$?
See if you can use these simple examples to figure out the general pattern that links the model scale to the ratio of volumes. Then, from your ratio of volumes, deduce the scale.
answered 1 hour ago
Arthur
105k799183
add a comment |Â
up vote
2
down vote
up vote
2
down vote
Start with simpler shapes and simpler ratios to get the idea.
Say there is a real cube measuring $1times 1times 1$ meters, and I have a model of it in the scale $1:2$. Then my model will measure $frac12timesfrac12timesfrac12$ meters. What is the ratio of volumes between my model cube and the real cube? What if my model was $1:3$?
See if you can use these simple examples to figure out the general pattern that links the model scale to the ratio of volumes. Then, from your ratio of volumes, deduce the scale.
answered 1 hour ago
Arthur
105k799183
Start with simpler shapes and simpler ratios to get the idea.
Say there is a real cube measuring $1times 1times 1$ meters, and I have a model of it in the scale $1:2$. Then my model will measure $frac12timesfrac12timesfrac12$ meters. What is the ratio of volumes between my model cube and the real cube? What if my model was $1:3$?
See if you can use these simple examples to figure out the general pattern that links the model scale to the ratio of volumes. Then, from your ratio of volumes, deduce the scale.
answered 1 hour ago
Arthur
105k799183
edited 49 mins ago
answered 1 hour ago
Arthur
105k799183
answered 1 hour ago
Arthur
105k799183
answered 1 hour ago
Arthur
105k799183
105k799183
add a comment |Â
add a comment |Â
user608398 is a new contributor. Be nice, and check out our Code of Conduct.
user608398 is a new contributor. Be nice, and check out our Code of Conduct.
user608398 is a new contributor. Be nice, and check out our Code of Conduct.
user608398 is a new contributor. Be nice, and check out our Code of Conduct.
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1:3 000 000 is a scale best used in a (small) world atlas. It would fit most of the island of Great Britain into an A4 page.
– Arthur
44 mins ago