EOC Practice 𝑽=𝑩𝒉 𝑽=𝒍𝒘𝒉 𝑽=𝒍𝒘𝒉 𝑽=(𝟏𝟎)(𝟏𝟎)(𝟗) 𝑽=(𝟏.𝟓)(𝟏)(𝟐) 𝑽=𝟗𝟎𝟎 𝒇𝒕 𝟑 22. Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep. 𝑽=𝑩𝒉 𝑽=𝒍𝒘𝒉 𝑽=𝒍𝒘𝒉 𝑽=(𝟏𝟎)(𝟏𝟎)(𝟗) 𝑽=(𝟏.𝟓)(𝟏)(𝟐) 𝑽=𝟗𝟎𝟎 𝒇𝒕 𝟑 𝑽=𝟑 𝒇𝒕 𝟑 𝟗𝟎𝟎÷𝟑=𝟑𝟎𝟎 What is the maximum number of supply boxes can she pack in this crate? A. 200 B. 300 C. 450 D. 600

EOC Practice 23. How many vertices does the polyhedron below have?

EOC Practice 𝑽=𝑩𝒉+ 𝟏 𝟑 𝑩𝒉 𝑽=𝝅 𝒓 𝟐 𝒉+ 𝟏 𝟑 𝝅 𝒓 𝟐 𝒉 24. What is the volume of the figure below? 𝑽=𝑩𝒉+ 𝟏 𝟑 𝑩𝒉 𝑽=𝝅 𝒓 𝟐 𝒉+ 𝟏 𝟑 𝝅 𝒓 𝟐 𝒉 𝑽=𝝅 (𝟑) 𝟐 ∙𝟏𝟎+ 𝟏 𝟑 𝝅 (𝟑) 𝟐 ∙𝟗 𝑽= 𝟗𝟎𝝅 + 𝟐𝟕𝝅 A 86 cubic inches B 104 cubic inches C 117 cubic inches D 171 cubic inches 𝑽=𝟏𝟏𝟕𝝅

EOC Practice 𝑨= 𝟏 𝟐 𝒉 𝒃 𝟏 + 𝒃 𝟐 𝑨= 𝟏 𝟐 (𝟓) 𝟏𝟎+𝟐𝟎 25. What is the area of isosceles trapezoid ABCD? 𝑨= 𝟏 𝟐 𝒉 𝒃 𝟏 + 𝒃 𝟐 A 62.5 square units B 75.0 square units C 76.4 square units D 150 square units 𝑨= 𝟏 𝟐 (𝟓) 𝟏𝟎+𝟐𝟎

EOC Practice 𝑨= 𝟏 𝟐 𝒃𝒉 𝑨= 𝟏 𝟐 (𝟗)(𝟏𝟐) 𝑨=𝟓𝟒 𝒄𝒎 𝟐 26. What is the area of a right triangle with legs of length 9 cm and 12 cm and a hypotenuse of length 15 cm? 𝑨= 𝟏 𝟐 𝒃𝒉 𝑨= 𝟏 𝟐 (𝟗)(𝟏𝟐) 𝑨=𝟓𝟒 𝒄𝒎 𝟐

EOC Practice 27. If the volume of a rectangular prism is 420.75 cubic centimeters and the area of the base is 49.5 square centimeters, what is the height of the prism in centimeters? 𝑽=𝑩𝒉 𝟒𝟐𝟎.𝟕𝟓=𝟒𝟗.𝟓𝒉 𝟖.𝟓=𝒉 A 4.5 B 8.5 C 11.0 D 15.5

EOC Practice 28. A sector of a circle is created from a central angle with a measure of 60º. If the diameter of the circle is 6 inches, what is the area of the sector? 𝐀 𝐨𝐟 𝐭𝐡𝐞 𝐒𝐞𝐜𝐭𝐨𝐫= 𝒎𝑨𝒓𝒄 𝟑𝟔𝟎° ×𝝅 𝒓 𝟐 = 𝟔𝟎° 𝟑𝟔𝟎° ×𝝅 (𝟑) 𝟐 =𝟏.𝟓𝝅 𝒊𝒏 𝟐 A 1.5𝜋 𝑖𝑛 2 B 2𝜋 𝑖𝑛 2 C 6𝜋 𝑖𝑛 2 D 8𝜋 𝑖𝑛 2

EOC Practice 𝑺𝑨=𝑷𝒉+𝟐𝑩 𝑺𝑨= 𝟓+𝟒+𝟑 𝟔+𝟐 𝟏 𝟐 ∙𝟑∙𝟒 𝑺𝑨=𝟕𝟐+𝟏𝟐 𝑺𝑨=𝟖𝟒 29. In the figure below, the two triangular faces of the prism are right triangles with sides of length 3, 4, and 5. The other three faces are rectangles. What is the surface area of the prism? 𝑺𝑨=𝑷𝒉+𝟐𝑩 𝑺𝑨= 𝟓+𝟒+𝟑 𝟔+𝟐 𝟏 𝟐 ∙𝟑∙𝟒 𝑺𝑨=𝟕𝟐+𝟏𝟐 𝑺𝑨=𝟖𝟒

EOC Practice 30. Which unit is appropriate for describing the surface area of the 4-sided pyramid below? A 𝑐𝑚 B 𝑐𝑚 2 C 𝑐𝑚 3 D 𝑐𝑚 4 𝒑𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓/𝒄𝒊𝒓𝒄𝒖𝒎𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝑨𝒓𝒆𝒂/𝑺𝑨 𝑽𝒐𝒍𝒖𝒎𝒆

EOC Practice 31. A paper cone is cut open with a single straight cut as shown. Which term BEST describes the straight cut shown? A height B slant height C radius D diameter

EOC Practice 32. A company packages their product in two sizes of cylinders. Each dimension of the larger cylinder is twice the size of the corresponding dimension of the smaller cylinder. Based on this information, which of the following statements is true? A The volume of the larger cylinder is 2 times the volume of the smaller cylinder. B The volume of the larger cylinder is 4 times the volume of the smaller cylinder. C The volume of the larger cylinder is 8 times the volume of the smaller cylinder. D The volume of the larger cylinder is 6 times the volume of the smaller cylinder.

EOC Practice 33. At a garage sale, Jason bought an aquarium shaped like a truncated cube. A truncated cube can be made by slicing a cube with a plane perpendicular to the base of the cube and removing the resulting triangular prism, as shown in the cube diagram below. What is the capacity, in cubic inches, of this truncated cube aquarium? 1 1 1 2 4

EOC Practice 𝑺𝑨= 𝟒𝝅 𝒓 𝟐 𝟐 𝑺𝑨=𝑷𝒉+𝑩 𝑺𝑨=(𝟐𝝅𝒓)𝒉+𝝅 𝒓 𝟐 𝑺𝑨= 𝟒𝝅 (𝟓) 𝟐 𝟐 34. Abraham works at the Delicious Cake Factory and packages cakes in cardboard containers shaped like right circular cylinders with hemispheres on top, as shown in the diagram below. 𝑺𝑨= 𝟒𝝅 𝒓 𝟐 𝟐 𝑺𝑨=𝑷𝒉+𝑩 𝑺𝑨=(𝟐𝝅𝒓)𝒉+𝝅 𝒓 𝟐 𝑺𝑨= 𝟒𝝅 (𝟓) 𝟐 𝟐 𝑺𝑨= 𝟐∙𝝅∙𝟓 𝟒+𝝅 (𝟓) 𝟐 𝑺𝑨=𝟒𝟎𝝅+𝟐𝟓𝝅 𝑺𝑨=𝟓𝟎𝝅 𝟓𝟎𝝅+𝟔𝟓𝝅=𝟏𝟏𝟓𝝅 𝒊𝒏 𝟐 𝑺𝑨=𝟔𝟓𝝅 Abraham wants to wrap the cake containers completely in colored plastic wrap and needs to know how much wrap he will need. What is the total exterior surface area of the container? A. 𝟗𝟎𝝅 square inches C. 𝟏𝟗𝟎𝝅 square inches B. 𝟏𝟏𝟓𝝅 square inches D. 𝟑𝟎𝟖𝝅 square inches

EOC Practice 35. A right circular cone has radius 5 inches and height 8 inches. What is the lateral area of the cone? 𝑳𝑨= 𝟏 𝟐 𝑷ℓ = 𝟏 𝟐 (𝟐𝝅𝒓)ℓ = 𝟏 𝟐 (𝟐∙𝝅∙𝟓) 𝟖𝟗 ℓ 𝟐 = 𝟓 𝟐 + 𝟖 𝟐 ℓ 𝟐 =𝟐𝟓+𝟔𝟒 =𝟓𝝅 𝟖𝟗 𝒊𝒏 𝟐 ℓ= 𝟖𝟗

EOC Practice 36. If a cylindrical barrel measures 22 inches in diameter, how many inches will it roll in 8 revolutions along a smooth surface? 𝟏𝟕𝟔𝝅

EOC Practice 37. The minute hand of a clock is 5 inches long. What is the area of the circle, in square inches, created as the hand sweeps an hour? 𝟐𝟓𝝅

EOC Practice 𝟏𝟎𝟏𝟕.𝟒 38. A classroom globe has a diameter of 18 inches. Which of the following is the approximate surface area, in square inches, of the globe? 𝟏𝟎𝟏𝟕.𝟒

EOC Practice 𝟏𝟔𝟖 𝒄𝒎 𝟐 39. Figure ABCD is a kite. What is the area of figure ABCD, in square centimeters? 𝟏𝟔𝟖 𝒄𝒎 𝟐

EOC Practice 40. What is the first step in constructing the angle bisector of angle A? A Draw ray 𝐴𝐷 . B Draw a line segment connecting points B and C. C From points B and C, draw equal arcs that intersect at D. D From point A, draw an arc that intersects the sides of the angle at points B and C.

EOC Practice 41. Marsha is using a straightedge and compass to do the construction shown below. Which best describes the construction Marsha is doing? A a line through P parallel to line l B a line through P intersecting line l C a line through P congruent to line l D a line through P perpendicular to line l

EOC Practice 42. Scott is constructing a line perpendicular to line l from point P. Which of the following should be his first step?