Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

44. The height of a cylinder is twice the radius of the base. The surface area of the cylinder is 56 π   ft 2 . 56 pi , ft squared , . What is the diameter of the base to the nearest tenth of a foot?
45. Two sides of a triangle measure 11 ft and 23 ft. What is the smallest possible whole number length, in feet, for the third side?
46. A polyhedron has one hexagonal face and six triangular faces. How many vertices does the polyhedron have?
47. The shortest shadow cast by a tree is 8 m long. The height of the tree is 20 m. To the nearest degree, what is the angle of elevation of the sun when the shortest shadow is cast?

Mixed Review

See Lessons 1-1 and 11-1.

Sketch each space figure and then draw a net for it. Label the net with its dimensions.

48. a rectangular prism with height 5 cm and a base 3 cm by 4 cm
49. a cylinder with a 72 π -in. 72 pi , minusin. circumference and a 22-in. height

See Lesson 10-7.

Find the area of each part of the circle to the nearest tenth.

50. sector QOP
51. the segment of the circle bounded by Q P ¯ q p bar and Q P ⌢ modified q p with frown above

See Lesson 6-7.

52. In the kite below, A B = A D eh b equals eh d and C B = C D . c b equals c d . Points P, Q, R, and S are midpoints.

    

    1. What are the coordinates of the midpoints?
    2. R Q = □ ; S P = □ ; r q equals white square semicolon s p equals white square semicolon

       P Q = □ ; S R = □ p q equals white square semicolon s r equals white square

    3. Use your answers to part (b) to explain why PQRS must be a parallelogram.

Get Ready! To prepare for Lesson 11-3, do Exercises 53–55.

See Lesson 8-1.

Find the length of the hypotenuse in simplest radical form.

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