Five-Minute Check (over Lesson 1–8) Mathematical Practices Then/Now New Vocabulary Example 1: Use Orthographic Drawings Example 2: Use Nets to Identify Solids Example 3: Draw Nets of Solids Lesson Menu

B. yes; pentagonal pyramid C. no; hexagonal prism Determine whether the solid is a polyhedron. Then identify the solid. yes; pentagonal prism B. yes; pentagonal pyramid C. no; hexagonal prism D. no; pentagonal prism 5-Minute Check 1

A. yes; cone B. yes; cylinder C. no; cone D. no; circular prism Determine whether the solid is a polyhedron. Then identify the solid. A. yes; cone B. yes; cylinder C. no; cone D. no; circular prism 5-Minute Check 2

Find the surface area of the cylinder to the nearest tenth. 122.5 cm2 B. 141.4 cm2 C. 150.8 cm2 D. 414.7 cm2 5-Minute Check 3

Find the volume of the triangular prism. B. 372 in3 C. 390 in3 D. 480 in3 5-Minute Check 4

A cube has a surface area of 96 square inches A cube has a surface area of 96 square inches. What is the volume of the cube? 36 in3 B. 64 in3 C. 96 in3 D. 216 in3 5-Minute Check 5

Mathematical Practices 4 Model with mathematics. Content Standards G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). MP

You named and drew different three-dimensional figures. You will represent the three-dimensional figures as two-dimensional figures with orthographic drawings and nets. Then/Now

orthographic drawing net New Vocabulary

Make a model of a figure from the orthographic drawing shown. Use Orthographic Drawings Make a model of a figure from the orthographic drawing shown. Example 1

Step 1 Start with a base that matches the top view. Use Orthographic Drawings Step 1 Start with a base that matches the top view. Step 2 The front view indicates that the front left side is 3 blocks high and that the right side is 1 block high. However, the dark segments indicate breaks in the surface. Example 1

Use Orthographic Drawings Step 3 The break on the left side of the front view indicates that the back left column is 2 blocks high, the third column is three bocks high, and the second column is 1 block high, but that the front left column is only 2 blocks high. Step 4 The break on the right side of the front view indicates that the back right column is 2 blocks high, but that the front right column is also 2 blocks high, the second column is 1 block high and the third column is 3 blocks high. Example 1

Use Orthographic Drawings Step 5 Use the left and right views and the breaks in those views to confirm that you have made the correct figure. Answer: Example 1

Use Nets to Identify Solids Make a model of a figure for the given net. Then identify the solid formed. Use a large sheet of paper, a ruler, scissors, and tape. Draw the net on the paper. Cut along the solid lines. Fold the pattern on the dashed lines and secure the edges with tape. This is the net of a square pyramid. Example 2

Answer: square pyramid Use Nets to Identify Solids Answer: square pyramid Example 2

Draw a net for the solid. Then label its dimensions. Draw Nets of Solids Draw a net for the solid. Then label its dimensions. To draw the net of a three-dimensional solid, visualize cutting the solid along one or more of its edges, opening up the solid, and flattening it completely. Example 3

Draw Nets of Solids Answer: Example 3