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Grade:
7
, Subject:
Math
, Topic:
Scale factor Volume and Surface Area
Question 1:
A cube has all sides of length 3 cm. It is enlarged with a scale factor 4? Find the surface area of the enlarged cube?
804 cm
^{2}
216 cm
^{2}
864 cm
^{2}
432 cm
^{2}
Question 2:
The scale factor of two similar rectangular prisms is 2. If the volume of the smaller prism is 15 ft
^{3}
, find the volume of the larger prism.
60 ft
^{3}
120 ft
^{3}
30 ft
^{3}
480 ft
^{3}
Question 3:
If the lengths in a shape are all multiplied by a scale factor of y, then the area will be _________?
multiplied by a scale factor of 2y
^{2}
divided by a scale factor of y
^{2}
multiplied by a scale factor of 2y
multiplied by a scale factor of y
^{2}
Question 4:
The scale factor of two similar rectangular prisms is 4. The volume of the larger prism is 576 cm
^{3}
. Find the volume of the smaller prism.
144 cm
^{3}
9 cm
^{3}
64 cm
^{3}
12 cm
^{3}
Question 5:
If the lengths in a shape are enlarged with scale factor 3, then the volumes will be enlarged with scale factor ____.
9
3
27
12
Question 6:
The area of a hexagon is 30 cm
^{2}
. If it is enlarged with scale factor 5, find its new area.
750 cm
^{2}
300 cm
^{2}
75 cm
^{2}
60 cm
^{2}
Question 7:
Triangle
P
and
Q
are similar. If triangle
Q
has an area that is 36 times larger than triangle
P
, how much larger will the dimension of triangle
Q
be?
3 times
4 times
5 times
6 times
Question 8:
Circle
A
has an area of 80 cm
^{2}
. Circle
B
has a radius that is 2 times the radius of the circle
A
. What is the area of the circle
B
?
160 cm
^{2}
40 cm
^{2}
320 cm
^{2}
480 cm
^{2}
Question 9:
A container has a volume of 18 m
^{3}
. If you enlarge it with scale factor 3, what will the volume of the enlarged container be?
486 m
^{3}
162 m
^{3}
54 m
^{3}
6 m
^{3}
Question 10:
What scale factor produces the enlargement from Y to Z?
4
3
2
6
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