Name: ______Date ______
Geometry A U8D1 Area, Perimeter, & Volume
WARM UP: Show formula and substitution. Draw a diagram for each.
1) An index card has a length of 7 cm and a width of 4 cm. What is its perimeter?
2) A triangular-shaped plot of land has a base of 15 meters and a height of 6 meters. What is its area?
3) The perimeter of a square is 220 dm. What is the length of each side?
4) A parallelogram has a base of 4 cm and a height of 6 cm. What is its area?
5) If one side of a stop sign measures 12 inches, what is its perimeter?
6) A window has a length of 4 feet, and a width of 3 feet. What is its area?
7) A trapezoid has bases of 7 cm and 5 cm, and a height of 3 cm. What is its area?
8) A rectangular piece of cardboard has a length of 16 inches and an area of 192 square inches. What is its width?
9) A square garden has a side of 22 feet. How much fence is needed to enclose the garden?
10) A chessboard has an area of 144 square inches. What is its perimeter?
Name: ______Date ______
Geometry A U8D1 Area, Perimeter, & Volume
Geometry: Volume of Prisms, Cylinders, Cone & Spheres
How to find the volume of the Rectangular Prism:
State the formula: V = Bh
B represents the area of the base of the prism.
B = bh
B = (7)(6)
B = 42 AND h = 30
Then substitute back into the formula:
V = Bh Write a statement:
V = (42)(30)
V = 1,260 The volume is 1,260 in3
Notice that the units must be stated as cubic units or units cubed.
TRY ONE:
State the formula: ______
Substitute back into the formula: V = Bh
Write a statement:
How to find the volume of the Triangular Prism:
State the formula: V = Bh
B represents the area of the base of the prism.
B = bh
B = (12)(11)
B = 66 AND h = 13
Then substitute back into the formula:
V = Bh Write a statement:
V = (66)(13)
V = 858 The volume is 858 cm3
Notice that the units must be stated as cubic units or units cubed.
TRY ONE:
State the formula: ______
Substitute back into the formula: V = Bh
Write a statement:
How to find the volume of Cylinder, Cone & Sphere:
You will need your reference sheet for the formulas and you will need to know the difference between the radius and the diameter of a circle:
Do the following: Cylinder:
Do the following: Cone
Do the following: Sphere
Name: ______Date ______
Geometry A U8D1 Area, Perimeter, & Volume
Volume of a cone, cylinder, and sphere: Applications
Show work for each of the following:
1) A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320 . What is the diameter in feet of the water tank?
2) A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed as shown below.
What is the total volume, in cubic inches, of all 9 spheres?
Round your answer to the nearest tenth of a cubic inch.
Name: ______Date ______
Geometry A U8D1 Area, Perimeter, & Volume HOMEWORK
Geometry: Volume of Prisms
· State the formula
· Substitute
· Solve
· State the correct units and round to the nearest tenth when necessary
1) Volume = ______2) Volume = ______
3) Volume = ______4) Volume = ______
5 in
10 inches
Geometry: Volume of Cylinders, Spheres & Cones
Round to the nearest tenth when necessary.
5) Volume = ______
6) Volume = ______
7) Volume = ______