Perimeter & Area
The formula to find the area of an object?
Area = Length x Width
The formula to find the volume of an object?
Volume = length x width x height
What is a Quadrilateral?
A closed shape with 4 straight sides.
An obtuse has one angle that measures 104 degrees and another angle that measures 35 degrees.
What is the value of the missing angle?
41 degrees
What is a Polygon?
A closed, two dimensional shape that has straight line segments that never cross.
What is a measurement that addresses 1 dimension and tells you the distance around a figure?
Perimeter
What is the volume of this rectangular prism:
l = 20 cm
w = 4.5 cm
h = 12.3 cm
1,107 cm3
All squares have parallel AND congruent sides.
What are the three ways we classify triangles based on their sides?
Define each!
Equilateral - all sides are equal
Isosceles - two sides are equal
Scalene - none of the sides are equal
Draw an example of perpendicular lines
Lines should cross at a 90 degree angle
Find the perimeter of a rectangle whose length is 5 inches and width is 4 inches.
Perimeter = 18 inches
Which measure (perimeter, area, or volume) would you take for the 2 different scenarios, and why:
1 - The number of tiles to cover the shower wall.
2 - The amount of space inside this classroom.
1 - Area - covering 1 dimensional surface
2 - Volume - 3 dimensional space inside an object
Why is a square also a rhombus?
A rhombus requires: 2 pairs of parallel sides, and all congruent sides.
Squares have both of these.
"A triangle can have two angles that equal 90 degrees" - Chloe
Is Chloe's statement correct? Explain why or why not:
Chloe is WRONG
The 3 angles in a triangle add up to a total of 180 degrees. 90 + 90 = 180
Two 90 degree angles would also give you two corners of a square and so they could not meet at a vertex to create a third side.
What is the name of a polygon with 7 sides?
Heptagon
Find the area of an object that has the length of 6.2 meters and the width of 4.8 meters.
Area = 29.76 meters
Find the volume of an object with the height of 7cm, the width of 10 cm, and the length of 15cm.
1,050 cubic centimeters
"All quadrilaterals are parallelograms"
Is this statement correct? Explain with examples
No because a trapezoid is a quadrilateral but it cannot be a parallelogram because it only has ONE set of parallel sides.
Find the perimeter and area of a right triangle with the following measurements.
Base = 3.6 cm
Height = 5.5 cm
Side = 2.65 cm
p = 11.75 cm
a = 9.9 cm2
Draw and label the 4 types of angles we have studied in this unit.
acute - less than 90 degrees
obtuse - greater than 90 degrees
right - exactly 90 degrees
straight - equal 180 degrees
If an object has the area of 7 square yards and the width of the object is a 1/2 yard, what is the length of the object?
7 = 1/2 x width
Width = 14 yards
Danny is filling a fish tank with water. The tanks dimensions are below. What is the total volume of the tank?
l = 8 ft
w = 4 ft
h = 5 ft
160 ft 3
True or False:
All Quadrilaterals have at least one pair of parallel sides.
FALSE
Quadrilaterals are ANY closed figures with 4 sides.
"All isosceles triangles are also equilateral." - Danny
Is Danny correct? Explain why or why not.
Danny is WRONG
Isosceles triangles only have two equal sides.
Equilateral triangles have three congruent sides.
Explain the difference between a line and line segment. Include a drawing.
line segments have two end points
lines continue on and one forever in both directions and end in arrows