Geometry Unit Test Review Ch 9 Lessons 1

Geometry Unit Test Review Ch. 9 Lessons 1 -3 & 6 Ch. 10 Lessons 1 -5

9 -1 • Area of Parallelograms • A = bh – Base and height must be perpendicular • Write formula first! – Plug in values – Solve – Answer = square units

• A section of a yard is in the shape of a parallelogram. – What is the area of the section? – This section of the yard will be re-sodded for grass to grow. If sod costs $. 35 per square foot, what would be the cost?

• Complete #8 on pg. 678 – Part 2: What is the area of the red section on the flag in feet? (Assume that red and blue sections are the same size)

• Complete #21 on pg. 691

9 -6 • Area of Composite Figures • STEPS: *Split figure 1. Write out what shapes you are finding the area of 2. Show work for each shape 3. Add areas together 4. Label answer (square units)

9 -6 • Find the area of the figure. Round to the nearest tenth if necessary. 8 m

• The front of a garage needs to be painted. The total area except for the door will be painted. The door is 1. 5 m high and 2 m wide. • A. How many square meters of paint will be needed? • B. A can of paint covers 2. 5 m 2. How many cans of paint will be needed? • C. A can of paint costs $24. 50. How much will it cost to paint the front of the garage?

10 -1/10 -2 • Volume of Prisms—the amount of space inside a threedimensional figure – Cubic units (cm 3 , etc. ) • Rectangular prism—bases are rectangles – “make base bottom face” • Triangular prism—bases are triangles – use one of the triangles for calculating the area of the base • Formula: V = Bh – B = area of the base – h = height of the prism (connects the bases)

• Janine keeps her jewelry in a jewelry box like the figure below. Find the volume of Janine’s jewelry box. Round to the nearest tenth if necessary.

• Piper wants to buy enough potting soil to fill a flower box that is 36 inches long, 8 inches wide, and 10 inches tall. If one bag of potting soil contains 576 cubic inches, how many bags should she buy?

• An A-frame cabin is built in the shape of a triangular prism, as shown. Find the volume of the cabin.

• Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7 -foot-long wooden beams for each side of the base. He measures the height of the triangular base to be 6. 1 feet. If he makes the sandbox 1 foot tall, how much sand will he need to fill it? Round to the nearest cubic foot.

10 -3 • Surface Area of Rectangular Prisms • The sum of the areas of all the surfaces, or faces, of a three-dimensional figure is the surface area – Covering a box with wrapping paper • Square units!

• Surface Area of Rectangular Prisms: – Find area of top or bottom; multiply by 2 – Find area of 1 side; multiply by 2 – Find area of front or back; multiply by 2 – Then add all together

• Complete #13 on pg. 769

• Minh is covering a necklace box with gift wrap. The necklace box is 15 centimeters long, 8 centimeters wide, and 2 centimeters high. What is the minimum surface area of the paper that will cover the necklace box?

• Find the surface area of each block. Which block has the greater surface area? Explain.

10 -4 • Surface Area of Triangular Prisms – Find area of 1 triangle; multiply by 2 • If equilateral triangle—find area of 1 rectangle; multiply by 3 • If NOT equilateral triangle—find area of each rectangle separately – Then add all together • Square units!

• Sturdy Steel Construction is building a steel ramp in the shape of a triangular prism. The dimensions are shown below. What is the surface area of the ramp?

• Find the surface area of the prism. Round to the nearest tenth if necessary.

10 -5 • Surface Area of Pyramids • Surface Area = area of all the lateral faces and the base – Find area of base • Will be a square or equilateral triangle – Find area of lateral triangle and… • Multiply by 3 if equilateral triangle base • Multiply by 4 if square base – Add all together • Square units!

• Rock It Out builds stage sets for rock concerts in the shape of a square pyramid. One set has a base that is 12 feet long and 12 feet wide. The slant height of the set is 13. 4 feet. What is the surface area of the stage set?

• Toddler Builders makes a toy block in the shape of a triangular pyramid. The base of the block is an equilateral triangle with dimensions of 6 inches. The height of the base is 5. 2 inches and the slant height of the block is 8 inches. What is the surface area of the pyramid block?