Perimeter
Luis has two mirrors, one is an octagon and the other is a square. Each side is 5 cm long on both mirrors. Do the mirrors have the same perimeter?
No.
The octagon is 40 cm; the square is 20 cm.
A rectangular shape has the length of 3 units and the width of 4 units. What is the area of that shape?
3 x 4 = 12 square units (or 12 units squared)
Bob wants to carpet the floor of his house. It is a rectangle and the sides are 4m and 3m. How much carpet is needed?
4m x 3m = 12m2
A cube has a depth of 2 units, a length of 4 units, and a height of 3 units. What is its volume?
2 x 4 x 3 = 24 cubic units
The distance around a figure is called _______.
perimeter
A rectangular book has a width of 3 cm and a length of 6 cm. What is the perimeter?
3cm + 6cm + 3cm + 6cm = 18cm
How do you calculate the area of a polygon?
length x width
Bob has to buy 12 square meters of carpet. Each square meter cost 5 dollars. He has 48 dollars. Does he have enough money to buy the carpet needed?
No.
He needs 5 x 12 = 60 dollars
True or False: The number of cubic units that make up a solid figure is perimeter.
False.
It is volume.
The number of cubic units that make up a solid figure is called _______.
Volume
A hexagon has sides that are each 7 m, what is the perimeter of the hexagon?
A hexagon has 6 sides.
7m + 7m + 7m + 7m + 7m + 7m = 42 m
A square room has a width of 10 m. How many square meters of flooring is needed for that room?
10m x 10m = 100m2
Mr. Horst wants to put a fence around the playground. The sides are 100 m and 300 m and it is a rectangle. How many meters of fence will he need?
100m + 300m + 100m + 300m = 800m
Do two solid figures that have the same volume have to have the same shape?
No
The number of square units needed to cover a figure is called the _____.
Area
How long is each side of an equilateral triangle that has a perimeter of 27 cm?
27cm / 3 = 9 cm
How do you calculate area of a triangle?
base x height / 2
The perimeter of an isosceles triangle is 50 cm. Two sides are 18 cm long. What is the length of the third side?
50cm - 18cm - 18cm = 14 cm
A solid figure has the width of 4 cm, a length of 6 cm, and height of 2 cm. What is the volume of the solid figure?
4cm x 6cm x 2cm = 48cm2
Can a cube have a volume of 9 cubic units?
No.
Depth, length, and height all need to be the same number of cubes.
What is the length of each side of a regular pentagon with a perimeter of 30 km?
A pentagon has 5 sides.
30km / 5 = 6 km
How do you calculate the area of a circle?
3.14 x r2
Sara needs to repair her gutter 12 feet above the ground. She prefers to place her ladder at least 3 feet from the wall for stability. How tall of a ladder does she need?
a2+b2=c2
122+32=c2
144+9=153
square root of 153 = 12.37 feet
A triangle has an area of 12ft2. If that triangle is stretched into a triangular prism with a depth of 10 ft, what is the volume of the prism?
12ft2 x 10ft = 120ft3
A square has 9 cm sides. What is the perimeter and area of the square?
Perimeter: 9cm + 9cm + 9cm + 9cm = 36cm
Area: 9cm x 9cm = 81cm2