Prisms and Cylinders
Volume
Volume
Pyramids, Cones, and Spheres
Volume
Volume
Similar Figures
Scale Factors
Dilations on a Coordinate Plane
100
Find the volume of a rectangular prism with a length of 13 mm, a height of 3 mm, and a width of 9 mm.
351 mm3
100
What is the volume of the cone? Round to the nearest tenth.
radius = 2 mm
height = 60 mm
251.2 mm³
100
The value of the unknown side length x is ...
x = 2.5
100
What is the scale factor from small triangle to big triangle ?
3/2 or 1.5
100
A rectangle is drawn below on the grid. If a scale factor of 1/2 is applied, the perimeter of the copy is ....
9 units
200
2,002 m3
200
Find the volume of the sphere with a radius of 3. Round to the nearest hundredth.
113.04 units³
200
A triangle has the side lengths of 8, 9, 15. Of the following, which side lengths below would create a scaled copy...
16, 18, 25 16, 15, 30 16, 18, 30
16, 18, 30
200
A map has a scale of 2 cm = 15 miles. A trip will be 7 cm on the map, the actual distance will be ...
52.5 miles
200
A polygon is graphed on a coordinate grid with (x, y) representing the location of a certain point on the polygon. The polygon is transformed using the rule (x, y) → (ax, ay).
Which statement must be true?
A. If a is greater than 1, the image of the polygon is congruent to the polygon.
B. If a is between 0 and 1, the image of the polygon is congruent to the polygon.
C. If a is greater than 1, the image of the polygon is smaller than the polygon.
D. If a is between 0 and 1, the image of the polygon is smaller than the polygon.
D. If a is between 0 and 1, the image of the polygon is smaller than the polygon.
300
What is the volume of this figure?
254 in.3
300
Find the volume of the rectangular pyramid with a base area of 96 square metres and a height of 12 metres.
384 m3
300
The value of the unknown side length ? is ...
? = 20
300
A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the pole in feet?
48ft
300
Quadrilateral PQRT is dilated with the origin as the center of dilation to create quadrilateral P'Q'R'T'. Point P is located at (3, 6), and point p' is located at (8, 16).
Which rule best represents the dilation that was applied to quadrilateral PQRT to create quadrilateral P'Q'R'T'?
A. (x, y) -> (x + 5, y +10)
В. (х, y) -> (х - 5, у - 10)
C. (x,y）->（8/3x, 8/3y）
D. (x.y) -> (⅜x, ⅜y)
C. (x,y）->（8/3x, 8/3y）
400
What is the volume of a barrel that is 6 meters across and 10 meters high? Round to the nearest tenth.
282.6 m³
400
The volume of this cone rounded to the nearest hundredth in cubic inches is
753.98 in³
400
A triangle has the side lengths of 4, 5, 6. Of the following, which side lengths below would create a scaled copy...
1, 1.25, 7.5 5, 6.25, 7.5 2, 2.5, 3.25
5, 6.25, 7.5
400
A blueprint has a scale of 2 cm = 6 feet. A house is 30 feet wide, the blueprint will be this distance in centimeters ...
10 cm
400
What is the scale factor of this dilation?
3
500
What is the volume of the cylinder with a radius of 2 m and a height of 10 m? Round to the nearest tenth.
125.6 m³
500
A basketball measuring 12 m across is cut in half. What is the volume? Round to the nearest hundredth.
452.38 m³
500
Mr. Lloyd wants to build a doll house for his daughter that is proportional to their house. He measured the living room of his house and it is 12 ft by 16 feet. What will be the dimensions of the doll house living room if every foot of the actual house is equal to one half inch in the doll house?
6 inches by 8 inches
500
What is the scale factor from the top triangle to the bottom triangle ? 
5/4 or 1.25
500
What is the scale factor for this reduction?
1/2