Rectangular Prisms
Triangular Prisms
Cylinders
Pythagorean Theorem
Transversal Lines
100

Brady has a pack of blocks that are packaged in a rectangular prism storage container.

Which equation will determine the lateral area of Brady's storage container?



A. S = 2(9) + 2(8)                  B. S = 22 x 2(9) + 2(8)

C. S = (9)(8)                          D. S = (22)(8)(9)

B. S = 22 x 2(9) + 2(8)

100

A tool is produced by a factory. What equation can be used to determine the total surface area of the tool?


 

A.  S = 2(24) + (48)(16.5)

B.  S = 2(48) + (24)(16.5)

C.  S = 2(24) + (24)(16.5)

D.  S = 2(16.5) + (24)(24)

Prisms B and D; 50 cm²

100

Amir is welding pipes together to make a sculpture. One of the pipes is shown below. What is the lateral surface area of the pipe? 

 

A.  141.4 in.²

B.  188.5 in.²

C.  245 in.²

D.  377 in.²

B.  188.5 in.²

100

Rose constructed a flower garden in the shape of a right triangle. Which side lengths can represent the side lengths of the flower garden?

A.  8, 15, 16

B.  7, 21, 25

C.  9, 40, 41

D.  13, 80, 88

C.  9, 40, 41

100

What are the correct angles that make up alternate exterior angles?

∠IKL and ∠ONP

∠IKL and ∠MNP

200

Kason builds a new toy box for his baby sister. He will paint the front, back, and sides of the box pink. 


What is the area of the toy box Kason will paint?


459 cm²

200

At DuBois High School, the seniors can purchase a monument to display student names. The monument and dimensions are shown below. What is the lateral area available for student names to be inscribed?


660 in.2

200

Tamila buys a can of soup at the supermarket. The height of the can is 14.7 centimeters, and the diameter is 11.8 centimeters. What is the total surface area of the can? Round to the nearest tenth.

763.7 cm2

200

Serena bought a new picture frame for family photos. The frame is 18 inches tall and 16 inches wide. Which is closest to the diagonal length of the picture frame?

 

A.  23.5 in.

B.  24.1 in.

C.  17 in.

D.  28.1 in.

B.  24.1 in.

200

What are ALL of the interior angles


∠1 and ∠6

∠2 and ∠5

300

Ari has a gold-plated bracelet charm in the shape of a rectangular prism. The charm has a length of 4.5 mm, a width of 3.5 mm, and a height of 6.5 mm. What is the total surface area of Ari’s bracelet charm?  

135.5 mm²

300

Aaron draws a diagram of a triangular prism and its dimensions. What is the total surface area of Aaron’s triangular prism?

 

A.  S = 140 cm²

B.  S = 128 cm²

C.  S = 152 cm²

D.  S = 120 cm²

A.  S = 140 cm²

300

A cylindrical chimney has a radius of 0.5 meters and a height of 10 meters. If it requires 4 liters of heat-resistant coating to cover 1 square meter of surface area, how much coating is needed to cover the entire surface of the chimney? Round to the nearest whole number.

S = 32.99 m2. Round to 33 m2.

33m2 x 4 liters = 132 liters

300

Ed builds a park enclosure in the shape of a right triangle. One side of the enclosure is 25 yards, and the diagonal side of the enclosure is 35 yards. To the nearest tenth, what is the length of the other side of the enclosure for the park?

24.5 yards

300

What are the angles that represent same side interior angles?


∠3 and ∠5

∠4 and ∠6

400

Teo has a stage prop for a graduation ceremony as shown below. Which statements correctly describe the prism? Select all that apply.

 

 

A.  The total surface area is 138.04 yd².

B.  The area of the base is 15.3 yd².

C.  The total surface area is 104.04 yd².

D.  The perimeter of the base is 22.6 yd².

E.  The lateral area is 76.84 yd².

A.  The total surface area is 138.04 yd².

D.  The perimeter of the base is 22.6 yd².

E.  The lateral area is 76.84 yd².

400

Warren’s kid troop is going camping and using the tent below. The troop is draping a mosquito net over the tent that will cover all sides except the bottom. How many square feet of net is needed for the tent?


1,890 ft2

400

Ritzy Foods produces two different sized cans of corn. The company uses paper labels to cover the lateral surface area of their cans. How much less paper is needed to cover the smaller sized can?


Can 1: S = 376.8 square cm;
Can 2: S =  1,055.04 square cm.
Can 1 needs approximately 678.24 less square cm.

400

Nikia drives from the hospital, to the library, then home. What is the total distance Nikia drives?

47.9 blocks

400

What is the value of the same side exterior angle to the value given?



86

500

The table displays the dimensions of four rectangular prisms.


Which prisms have equal lateral area?

What is the lateral area?

Prisms A and C; 96 cm²

500

Ms. Harris gave her students the following table with the dimensions of four right triangular prisms. Which prism has the greatest surface area?


Prism Y

500

Litzy has a cylinder like the one shown below. The surface area of the cylinder is 285.9 square centimeters, and it is 13 centimeters long. She plans to paint the length of the cylinder to give as a gift to her mother. What is the radius of the cylinder? Round to the nearest tenth.


r = 3.5 cm

500

Joshua is hanging a string of lights from a pole to a stake in the ground for Boo Night at school. How tall is the pole?


23.5 feet

500


What is the value of X?

38

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