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

9-1 Area of Parallelograms A = bh Write formula first! 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?

9-2 Area of Triangles A = 𝑏ℎ 2 Write formula first! Base and height must be perpendicular Write formula first! Plug in values Solve Answer = square units

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)

9-3 Area of Trapezoids A = (𝑏 1 + 𝑏 2 )ℎ 2 Write formula first! Bases and height must be perpendicular Write formula first! Plug in values Solve using order of operations Answer = square units

Complete #21 on pg. 691

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

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

The front of a garage needs to be painted 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 m2. 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 three-dimensional figure Cubic units (cm3 , m3 , 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 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 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 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 Find the surface area of each block. Which block has the greater surface area? Explain.

10-4 Surface Area of Triangular Prisms Square units! 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 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?