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Final
100

A rectangular pyramid has a height of 10 meters. The base measures 8 meters in length and 12 meters in width. Two different triangular cross sections are formed through the vertex and perpendicular to the base. What is the difference in the areas of the cross sections?

20" m"^2

100

In the figure below, what is m∠ABE? What is m∠DBE?


m∠ABE= 115.5°

m∠DBE= 25.5°

100

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 of paint

100

A circular cake has a diameter of 12 inches. If the cake is 5 inches tall, what is the volume of the cake? use 3.14 round to 2 decimal places if needed

565.2  "in" ^3 

100

How many unique triangles can be made with side lengths of 8 in, 1 ft, and 16 in?

1 unique triangle

200

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.

zero. if it is a square base the sides would be 3 x 3. Since the softball has a diameter of 3.8 that would be too big to fit.

200

What is the formula for area of a circle?

A=pir^2

200

A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to

2/5

of its size. What is the scale of the drawing for the new garden shown below?

1 in. = 5 ft

200

What is the volume of the prism?

3240" cm"^3

200

Jayne stacked 2 cubes on top of each other as shown. The edge length of the smaller cube is half the edge length of the cube below it. What is the surface area of the new figure?

1372" m"^2

300

Solve for x:

x=65

300

How are angle 1 and angle 4 related?

Adjacent and supplementary

300

A box is made of 2 boxes, the larger is made of oak, and the smaller inside prism is made of walnut. What is the volume of oak wood used?

1,560" cm"^3

300

What is area of the figure?

24 " cm"^2

300

A bike has a tire has a diameter of 21 inches. If you rode the the end of your street and back in 144 revolutions how many feet would it be to the end of your street? Use  22/7 " for " pi 

396 feet

400

What is the area of the cross section?

160" in"^2

400

Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the edges of the small cube. What is the volume of the larger cube?

27" m"^3

400

What would the area of your cross section be?

 20 " cm"^2 

400

A basketball team wants to paint half of a free-throw circle red. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted red? Use 3.14 for pi , and round to the nearest square foot.

38 " ft"^2

400

The figure shows ∠ABD is split by line BC.
The measure of ∠DBC is 10 more than three times the measure of ∠ABC What is the measure of ∠ABC?

∠ABC is 20°

500

What is the actual area of the living space based on the scale drawing?

126" ""m"^2

500

You are painting a square tile 2 colors. You make a circle with the largest area possible green, and the area outside the circle purple. If the area of the entire tile is 196  "in"^2 , Then what is the area covered by green paint? round to 2 decimal places as needed and use 3.14 for  pi 

42.14 " in"^2

500

A circle has a circumference of 75.36 cm. Using, 3.14 what is the area of the circle?

452.16 " ""cm"^2

500

What is the formula for volume of a prism?

 V=b*h 

Where b is the area of the base

500

What is the surface area of the figure?


1,080 " cm"^2

500

The distance from both the north and south poles to the core of the earth is 3,949 miles. The equator is 24,901 miles around the earth. How many more miles would you walk going around the equator, than you would going from north to south and back the the north pole? Round to the nearest mile

101 miles.