Post by P.Q. on Mar 17, 2012 8:45:17 GMT -7
Look at this rectangular prism:
5 in
6 in
3 in
If the height is tripled, then which of the following statements about its volume will be true?
3 times more
Look at this cube:
9 yd
9 yd
9 yd
If the side lengths are tripled, then which of the following statements about its surface area will be true?
9 times more
You can solve this problem without using the measurements given in the diagram.
The original cube had this surface area:
S = 6s2
The new cube will have sides that are 3 times as long. Since the original side lengths were s, the new side lengths will be 3s. Calculate the surface area:
S = 6(3s)2
= 6 · 9s2
= 54s2
Divide the new surface area by the original surface area and simplify.
new surface area
original surface area
=
54s2
6s2
= 9
The new surface area will be 9 times the old surface area.
Look at this cube:
3 yd
3 yd
3 yd
If the side lengths are doubled, then which of the following statements about its surface area will be true?
The new surface area will be 8 times the old surface area.
The new surface area will be 4 times the old surface area.
The new surface area will be 9 times the old surface area.
The new surface area will be 2 times the old surface area.
You can solve this problem without using the measurements given in the diagram.
The original cube had this surface area:
S = 6s2
The new cube will have sides that are 2 times as long. Since the original side lengths were s, the new side lengths will be 2s. Calculate the surface area:
S = 6(2s)2
= 6 · 4s2
= 24s2
Divide the new surface area by the original surface area and simplify.
new surface area
original surface area
=
24s2
6s2
= 4
The new surface area will be 4 times the old surface area.
5 in
6 in
3 in
If the height is tripled, then which of the following statements about its volume will be true?
3 times more
Look at this cube:
9 yd
9 yd
9 yd
If the side lengths are tripled, then which of the following statements about its surface area will be true?
9 times more
You can solve this problem without using the measurements given in the diagram.
The original cube had this surface area:
S = 6s2
The new cube will have sides that are 3 times as long. Since the original side lengths were s, the new side lengths will be 3s. Calculate the surface area:
S = 6(3s)2
= 6 · 9s2
= 54s2
Divide the new surface area by the original surface area and simplify.
new surface area
original surface area
=
54s2
6s2
= 9
The new surface area will be 9 times the old surface area.
Look at this cube:
3 yd
3 yd
3 yd
If the side lengths are doubled, then which of the following statements about its surface area will be true?
The new surface area will be 8 times the old surface area.
The new surface area will be 4 times the old surface area.
The new surface area will be 9 times the old surface area.
The new surface area will be 2 times the old surface area.
You can solve this problem without using the measurements given in the diagram.
The original cube had this surface area:
S = 6s2
The new cube will have sides that are 2 times as long. Since the original side lengths were s, the new side lengths will be 2s. Calculate the surface area:
S = 6(2s)2
= 6 · 4s2
= 24s2
Divide the new surface area by the original surface area and simplify.
new surface area
original surface area
=
24s2
6s2
= 4
The new surface area will be 4 times the old surface area.