Surface Area
A cylinder has radius 3 cm and height 5 cm. Find its total surface area in terms of pi.
48π cm²
Find the volume of a rectangular prism measuring 3 cm by 4 cm by 5 cm.
60 cm³
Find the distance between (1,2) and (4,6).
5 units
Two triangles have angle measures 40°, 60°, and 80°. What relationship do they have?
They are similar.
Translate point (2,−1) right 4 units and up 3 units. What is the new ordered pair?
(6,2)
A rectangular prism has dimensions 4 cm by 6 cm by 8 cm. Find its surface area.
208 cm²
A cylinder has radius 2 cm and height 10 cm. Find its volume in terms of pi.
40π cm³
Find the area of a triangle with vertices (0,0), (6,0), and (0,4).
12 square units
A polygon with side length 5 is enlarged to side length 15. What is the scale factor?
3
Reflect point (5,−2) across the x-axis. What is the new ordered pair?
(5,2)
A cone has radius 4 cm and slant height 6 cm. Find its total surface area in terms of pi.
40π cm²
A cone has radius 3 cm and height 12 cm. Find its volume in terms of pi.
36π cm³
Find the perimeter of a rectangle with vertices (0,0), (5,0), (5,2), and (0,2).
14 units
In similar triangles, one side measures 6 and its corresponding side measures 9. If another side in the first triangle is 8, what is the corresponding side in the second triangle?
12
Rotate point (3,1) 90° counterclockwise about the origin. What is the new ordered pair?
(-1, 3)
A sphere has radius 7 cm. Find its surface area in terms of pi.
196π cm²
A sphere has radius 6 cm. Find its volume in terms of pi.
288π cm³
Find the area of a trapezoid with vertices (0,0), (6,0), (4,3), and (1,3).
13.5 square units
A 6-foot person casts a 4-foot shadow. At the same time, a tree casts a 20-foot shadow. How tall is the tree?
30 feet
Dilate point (2,5) by a scale factor of 3 centered at the origin. Identify the new ordered pair.
(6, 15)
A toy is made by attaching a hemisphere of radius 3 cm to the top of a cylinder with the same radius and height 8 cm. Find the exposed surface area. Leave your answer in terms of pi.
84π cm²
A cylinder with radius 4 cm and height 10 cm has a cone with the same base and height removed. Find the remaining volume.
320π/3 cm³
A triangular park has vertices (2,1), (8,1), and (5,7). If sod costs $4 per square unit, how much will it cost to cover the park?
$72
Two similar polygons have a scale factor of 4. If the smaller area is 12 square units, what is the larger area?
192 square units
Starting with point (1,2), reflect across the y-axis and then translate down 4 units. Identify the new ordered pair.
(-1,-2)