Unit 3.2 Measurement and Geometry

Perimeter uses a ____ unit of measure. Like what?

• Linear

• cm and m

Area uses a ____ unit of measure. Like what?

• Square

• cm² and m²

Volume uses a _____ unit of measure. Like what?

• Cubic

• cm³ and m³

One-dimensional shapes are usually in the form of a-

Line

Two-dimensional shapes create a-

Plane

What two things can you now find for a two-dimensional shape?

• Perimeter

• Area

Perimeter is the sum of what?

The measures of all sides

With a three-dimensional object you can now calculate what?

Volume

What is the formula for the perimeter of a square?

• 4s

• Where s is the sides

What is the formula for the perimeter of a rectangle?

• 2l + 2w

What is the formula for the perimeter of a triangle?

• a + b + c

• Where the letters are the 3 sides

What is the formula for the perimeter of a circle?

• 2πr or πd

• Where r is radius and d is diameter

• Also called circumference

What is the formula for the perimeter of a parallelogram?

• 2 X (l + w)

What is the formula for the perimeter of a trapezoid?

• s₁ + s₂ + s₃ + s₄

• Where s represents the sides

What is the formula for the area of a cube/square?

• s²

• Where s is the sides

What is the formula for the area of a rectangle?

• l X w

What is the formula for the area of a triangle?

• Where b is the base and h is the height

What is the formula for the area of a circle?

• πr²

What is the formula for the area of a parallelogram?

• b X h

• Where b is the base and h is the height

What is the formula for the area of a trapezoid?

• Where a and b are the bases and h is the height

When dealing with a right angle triangle, what side is always the longest?

The hypotenuse

Volume can be thought of as what?

The interior space/capacity of a three-dimensional object

What is a prism? What are some examples?

• Object with 2 parallel and same-sized bases

• Cylinders, boxes, tents

What is the formula for the volume of a cube?

• s³

• Where s is the equal sides

What is the formula for the volume of a rectangular prism?

• l X w X h

What is the formula for the volume of a triangular prism? (e.g. tent)

• Half of base X height X length

What is the formula for the volume of a cylinder?

• πr²h

What is the equation for the volume of a cone?

What is the formula for the volume of a sphere?

What is the formula for the surface area of a cube?

• 6s²

• Where s is the side

What is the formula for the surface area of a rectangular prism?

• 2lw + 2hw + 2lh

What is the formula for the surface area of a triangular prism? (e.g. tent)

• where a, b, and c are the sides of the base

What is the formula for the surface area of a cylinder?

• 2πrh + 2πr²

What is the formula for the surface area of a cone?

• πrs + πr²

• Where s is the side of the cone

What is the formula for the surface area of a sphere?

• 4πr²

What is a general sort of “cheat code” for finding the volume of prisms?

V = base area X height

When thinking about perimeter, what’s a “net”?

• A two-dimensional pattern that can fold into a three-dimensional object

• The shape of the object has been opened up and flattened

What would the “net” of a cylinder look like?

• Would look like a flattened rectangle and two circles