FSA Geometry

FSA Geometry

MAFS.6.G.1.1

MAFS.6.G.1.2

MAFS.6.G.1.3

MAFS.6.G.1.4

MAFS.6.G.1.1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Multiple Choice

The path of an ocean swim course is shown. If a swimmer must complete the course twice, how long is the race?

• 1.21 kilometers

• 3.3 kilometers

• 4.4 kilometers

• 6.6 kilometers

Multiple Choice

Andre is flying a kite. Given AC = 18 inches and BE = 9 inches, calculate the area of the kite.

• 36 square inches

• 72 square inches

• 81 square inches

• 162 square inches

Multiple Choice

What is the side length of a square with an area of 36 square millimeters?

• 4 millimeters

• 6 millimeters

• 9 millimeters

• 18 millimeters

Multiple Choice

Maria places two matching square-topped file cabinets at either end of her L-shaped desk, as shown. What is the total area of the desk and file cabinets?

• 2507 square inches

• 3036 square inches

• 3565 square inches

• 4885 square inches

Multiple Choice

What is the area of trapezoid EFGH?

• 30 square meters

• 42 square meters

• 60 square meters

• 84 square meters

MAFS.6.G.1.2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = B h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Multiple Choice

How many square faces does a cube have?

• 3

• 4

• 6

• 8

Multiple Choice

How many unit cubes could fit inside the cube shown, with no extra space?

• 96

• 256

• 1536

• 4096

Multiple Choice

What is the formula for the volume of a prism?

• $V=\frac{1}{2\ }\times B\times h$

• $V=B\times h$

• $V=\frac{1}{3}\times B\times h$

• $V=2lw+2wh+2lh$

Multiple Choice

Carrie used unit cubes to determine the volume of a cube with a side length of 4 centimeters and the volume of a cube with a side length of 8 centimeters. How many times greater is the volume of the second cube than the volume of the first cube?

• 4

• 8

• 448

• 512

Multiple Choice

Gary is comparing four geometric solids. Which solid has the greatest volume?

MAFS.6.G.1.3

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Multiple Choice

On the coordinate plane, the line segments AB and BC are graphed. What will be the coordinates of point D if ABCD forms a parallelogram?

• (3, -3)

• (3,0)

• (3,-4)

• (3,-6)

Multiple Choice

On the coordinate plane, the points A(4, 4), B(-2, 4), and C(-2, -3) are plotted. What will be the coordinates of point D if ABCD forms a rectangle?

• (4,-3)

• (-4,-3

• (3,-4)

• (4,-2)

Multiple Choice

On the coordinate plane, points A(-5, -6), B(2, -6), C(8, 5), and D(-7, 5) are plotted and connected with line segments to form a trapezoid.

• 11 units

• 7 units

• 15 units

• 10 units

MAFS.6.G.1.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Multiple Choice

Which net would NOT fold to make a cube?

Multiple Choice

Which sketch shows the back of the box, including the measurements?

Multiple Choice

Grace is wrapping a shirt for a gift. How much wrapping paper will she need?

• 256,050 square millimeters

• 128,025 square millimeters

• 109,200 square millimeters

• 5,485,500 square millimeters

Multiple Choice

How many vertices, edges, and faces does the following pyramid have?

• 5 vertices, 10 edges, 6 faces

• 5 vertices, 6 edges, 10 faces

• 6 vertices, 10 edges, 6 faces

• 6 vertices, 6 edges, 10 faces

Multiple Choice

How many vertices, edges, and faces does the following pyramid have?

• 5 vertices, 10 edges, 6 faces

• 5 vertices, 6 edges, 10 faces

• 6 vertices, 10 edges, 6 faces

• 6 vertices, 6 edges, 10 faces