The scale factor for a scale drawing is ____________ between two measures.
A. The Difference B. A Ratio
C. The Distance D. The Absolute Value
How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.?
None; 8 + 12 = 20 and 20 < 24
What is the formula for area of a circle?
What is the formula for circumference of a circle?
C=pid
A=pir^2
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?
352 in2
How do you find the volume of a shape?
Area of the base x height
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to of its size. What is the scale of the drawing for the new garden shown below?
What are 3 side lengths that can make a triangle and 3 side lengths that can not.
Answers will vary
The area of a circle is 153.86 square meters. What is the diameter of the circle?
A. 7 m C. 24.5 m
B. 14 m D. 49 m
A. 7 m
What is the area of the figure at right?
A. 12 cm2 B. 24 cm2
C. 28 cm2 D. 42 cm2
B. 24 cm2
Select all the shapes whose volume can be found using the formula V = Bh.
A. right triangular prism B. triangular pyramid
C. cone D. rectangular pyramid
E. rectangular prism
A and D
On a scale drawing of a basketball court, 1 inch equals 8 feet. What is the actual area of the basketball court if the scale drawing is 11.75 inches by
6.25 inches?
4,700 ft2
Name all of the adjacent angles and then name all of the vertical angles.
adjacent: <1,<2; <2,<3; <3, <4; <1,<4
Vertical: <1,<3 and <2,<4
What is the diameter of a circle with a circumference of 84.78 inches?
d = 27
Find the surface area:
105 cm2
A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Explain.
No it is not tall enough
What is the actual length of the living space if the length in the scale drawing is 16.8 centimeters?
21 cm
Two angles lie along a straight line. If m∠A is five times the sum of m∠B plus 7.2°, what is m∠B?
x= 28.8
What is the difference between the circumference of the outer circle and the circumference of the inner circle? .
12.56 m
Graham carves a block of wood shaped like a cube with a square pyramid on top. What is the surface area of the toy?
1080 cm2
What is the volume of the prism? Remember break hexagon into 6 triangles and then find the area of the base and finish your formula.
A. 1,080 cm2 B. 2,700 cm2
C. 3,240 cm2 D. 6,480 cm2
C. 3,240 cm2
The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are
inches apart on the map. The scale on the map is
inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville?
72 mi
The figure shows ∠ABD is 90°, split by line BC. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x?
x=20
Sarah is designing a logo. First, she paints a green square with side lengths of 5 feet. Then she uses blue paint to inscribe two semicircles as shown at right. What is the area of the part of the logo that is still green?
circle = 19.625
square = 25
25-19.625 = 5.375 ft2
A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?
23 Gallons
A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase?
2000
V= 1560 cm2