Formulas Review Sheet
Name_________________
VOCABULARY
Perimeter and Circumference refer to the distance around a shape and are measured in
units.
Area refers to the amount of space inside a 2-D object and is measured in units squared.
Surface Area is the amount of space on the outside of a 3-D figure (its covering) and is
measured in units squared.
Volume is the amount that a 3-D figure can contain and is measured in units cubed.
In the Volume and Surface Area formulas, B stands for the area of the base.
In the Volume and Surface Area formulas, p stands for the perimeter of the base and l
stands for the slant height.
Perimeter and Area: Find the perimeter or area of the shape. Copy the formula,
substitute carefully, and solve correctly. Don’t forget to label your answer!
1)
Find the circumference of a circle
with a diameter of 9 inches.
2)
You have a large tree in your front
yard. At noon, the tree casts a
circular shadow with a radius of 9 m.
You are now planting a tree in your
back yard. At noon, its shadow will
have a radius of 4 m. How much of
your yard is shaded by the two trees
at noon?
Volume and Surface Area: Find the volume or surface area of the shape. Copy the
formula, substitute carefully, and solve correctly. Don’t forget to label your answer!
3)
Find the volume of the cylinder.
4)
6 cm
Find the Surface Area of the
cylinder.
8 cm
5)
Find the Volume of the pyramid.
6)
Find the Surface Area of the
pyramid.
9)
You have a box that is 21 cm long, 6
cm wide and 8 cm tall. You also have
a can that has a diameter of 19 cm
and a height of 20 cm. Which
container holds more and how do you
know?
7)
Find the Surface Area of the Cone
8)
What is the surface area of the
triangular prism pictured here?
10)
Your little cousin got a new sandbox
for her birthday. It is in the shape
of a cylinder with a diameter of 3.5
ft and a depth of 0.8 ft. You bought
her 6 bags of sand containing 2 cu ft
each. You want to fill the sandbox
and make it even on the top. Do you
have enough sand? If yes, how much
extra do you have? If no, how much
more do you need?