Circles, Prims, and Angles

Circles

100

The _____ is the distance from the center to the edge of the circle.

Radius

200

The ____ is the distance from one edge of the circle through the center to the opposite edge of the circle.

Diameter

300

A manufacturing company is producing dinner plates with a diameter of 12 inches. They plan to put a gold edge on each plate. Determine how much gold edging they need for each plate to the nearest hundredeth.

37.68 inches

400

How many square inches of dough will a pizza need that has a diameter of 10 inches?

78.5 square inches

500

A circle has an area of 314 meters square. What is the circumference?

62.8 meters

Surface Area

100

A rectangular prism has a width of 8cm, a height of 4cm and a length of 3cm. What is the surface area of the prism?

136 cm²

200

How long is one edge of a cube that has a total surface area of 96 in²?

4 inches

300

What is the formula for surface area of a rectangular prism?

SA=2(lw+hw+lh)

or

SA=2lw+2hw+2lh

400

What is the formula for surface area of a triangular prism? Define B and P as well.

SA=2B+PH

B=Area of Base

P=Perimeter of Base

500

The base of a right prism is a triangle whose sides are of lengths 9 cm. 10 cm. and 11 cm. Find the total surface area of the prism if its height be 15 cm.

540 cm²

Volume

100

Sarah has a chocolate box whose length is 12 cm, height 9 cm, and width 6 cm. Find the volume of the box.

648 cm³

200

A water tank is 90 m long and 60 m wide. What is the volume of the water in the tank, if the depth of water is 40 m?

216,000 m³

300

The closet is 6 feet wide, 5 feet deep and 8 feet tall. In the closet, there is a suitcase that is 2 feet wide, 3 feet long and 4 feet tall. How much room is left in the closet?

216 ft³

400

The base of a right prism is a triangle whose sides are of lengths 9 cm. 10 cm. and 11 cm. Find the volume of the prism if its height be 15 cm.

675 cm3

500

The base area of a triangular prism is 65.54 in². If the Volume is 387.28 in³ what is the height of the prism?

5.9 in

Angle Relationships

100

What does complementary mean?

Two or more angles that add up to 90 degrees.

200

What does supplementary mean?

Two or more angles that add up to 180 degrees.

300

Two angles have the measures of (x+2) and 75. These angles are complementary. What is the value of x?

13

400

A set of supplementary angles have the measure of x+42 and 63. What is the measure of x?

75 

500

A set of vertical angles have the measures of 2x+4 and 64. What is the measure of x?

30

Misc.

100

The diameter of a cart wheel is 2.1 m. Find the distance traveled when it completes 100 revolutions.

660 m

200

The diameter of a circular park is 98 m. Find the cost of fencing it at $4 per meter.

$1,230.88

300

Find the area of a composite figure composed of a semi circle with the diameter of 20 cm and a rectangle with side lengths of 20 cm and 5 cm.

257 cm²

400

What is important about vertical angles?

They are across from each other, and are congruent or equal.

500

Nigel makes Yorkshire pudding in small dishes that are placed in a pan of water. Nigel's pan is a right rectangular prism 32 cm wide by 22.5 cm long by 5 cm deep. 

He fills the pan 3/4 of the way with water. The Yorkshire pudding containers displace 850 cm³ of water.

How big is the difference between the volume of the pan and the total volume of the water plus the pudding containers?

50 cm³