Enhanced End of Topic Assessment PDF

Summary

This document contains an assessment for a topic 3 in the subject of Shapes and Solids. The assessment includes multiple-choice and short-answer questions about geometry and spatial reasoning. The assessment covers areas, volumes and properties of different shapes.

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Topic 3 SHAPES AND SOLIDS Enhanced End of Topic Assessment Name Date Part A: Multip...

Topic 3 SHAPES AND SOLIDS Enhanced End of Topic Assessment Name Date Part A: Multiple-Choice Questions 1. Which set of measures CANNOT be angle measures of a triangle? a. 55°, 55°, 71° b. 2°, 2°, 176° c. 11.9°, 19.1°, 149° d. 58°, 63°, 59° 2. Ms. Chung will paint a triangular tile. An image of the tile is shown. 5 cm 5 cm 4 cm © Carnegie Learning, Inc. 6 cm Which equation can be used to calculate the area of the triangular tile? a. A = (6 cm)(4 cm) b. A = (6 cm)(5 cm) c. ​​  1 ​​ (6 cm)(4 cm) A = __ 2 d. ​​  1 ​​ (6 cm)(5 cm) A = __ 2 SHAPES AND SOLIDS: Enhanced End of Topic Assessment 1 Topic 3 SHAPES AND SOLIDS 3. The dimensions of the parallelogram 4. The planning committee submitted a shown are given in inches. What is plan to the town architect to revitalize the the area of the parallelogram in town square. Their plan includes a new square inches? flagpole with a concrete base in the shape of an isosceles trapezoid. The base of the 7 in. trapezoid and its dimensions are shown. 1 7 feet 5 in. 4 in. 5 7 feet 1 2 feet 5 feet 2 a. 28 in.2 What is the area of the concrete base proposed by the planning committee in square feet? b. 35 in.2 a. ​​  1 ​​ ​​f t​​  2​​ 14 __ 2 c. 24 in.2 b. ​​  1 ​​ ​​f t​​  2​​ 26 __ 4 d. 20 in. 2 c. ​​  1 ​​ ​​f t​​  2​​ 26 __ 2 d. ​​  3 ​​ ​​f t​​  2​​ 26 __ 4 © Carnegie Learning, Inc. 2 M  ODULE 1: COMPOSING AND DECOMPOSING Topic 3 SHAPES AND SOLIDS 5. Gary is comparing four geometric solids. Which solid has the greatest volume? a. 1 in. 3 1 in. 2 1 1 in. 2 b. 1 3 in. 1 in. 3 1 1 in. 2 c. 1 in. 2 1 in. 3 1 4 in. d. 1 © Carnegie Learning, Inc. 2 in. 1 in. 3 3 1 4 in. SHAPES AND SOLIDS: Enhanced End of Topic Assessment 3 Topic 3 SHAPES AND SOLIDS Part B: Open-Response Questions 6. Determine whether it is possible to form 7. What is the value of x​ ​? one unique triangle, many different x 40° triangles, or no triangles using the set of segments with the given measurements. Explain your reasoning. 85° 11 in., 8 in., 16 in. 8. List the side lengths from shortest 9. The area of a triangle is 27 square meters, to longest. and the height of the triangle is 9 meters. What is the base of the triangle in meters? 62° r s 58° t © Carnegie Learning, Inc. 4 M  ODULE 1: COMPOSING AND DECOMPOSING Topic 3 SHAPES AND SOLIDS 10. Use a ruler to measure the dimensions of the given parallelogram to the nearest centimeter. What is the area of the parallelogram in square centimeters? © Carnegie Learning, Inc. SHAPES AND SOLIDS: Enhanced End of Topic Assessment 5 Topic 3 SHAPES AND SOLIDS ​​1 ​​inch to make a larger cube but he did 11. Dante was stacking unit cubes with side lengths of _ 8 not have time to finish. If he used the given length, width, and height of the stack so far, what will be the volume of Dante’s cube when it is finished? 12. Calculate the volume of the rectangular prism. 3 4 in. 3 in. © Carnegie Learning, Inc. 1 4 1 in. 2 6 M  ODULE 1: COMPOSING AND DECOMPOSING Topic 3 SHAPES AND SOLIDS Part C: Griddable Response Questions Record your answers and fill in the bubbles. Be sure to use the correct place value. 13. In triangle ABC shown below, what is the measure of /A in degrees? + 0 0 0 0 0 0 − 1 1 1 1 1 1 A 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 150° 17° C 5 5 5 5 5 5 B 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 14. Eileen paints a company’s logo on the side of its truck. The logo is in the shape of a + 0 0 0 0 0 0 parallelogram with the dimensions shown. − 1 1 1 1 1 1 What is the area that Eileen paints in 2 2 2 2 2 2 square feet? © Carnegie Learning, Inc. 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 7 ft 6 6 6 6 6 6 8 ft 7 7 7 7 7 7 14 ft 8 8 8 8 8 8 9 9 9 9 9 9 SHAPES AND SOLIDS: Enhanced End of Topic Assessment 7 Topic 3 SHAPES AND SOLIDS 15. The rectangle shown represents the base of a rectangular prism. + 0 0 0 0 0 0 11 cm − 1 1 1 1 1 1 1 2 2 2 2 2 2 5 cm 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 The height of the prism is 6 centimeters. What is the volume of the prism in cubic centimeters? 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 © Carnegie Learning, Inc. 8 M  ODULE 1: COMPOSING AND DECOMPOSING

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