Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
Surface Area of Prisms
(Enriched Pre-Algebra 7-7)
Find the Surface Area for
each prism. Show all of
your work.
Surface Area: The sum of the areas
of all the surface (faces) if the threedimensional figure.
1.)
Rectangular Prism: A prism with
a rectangular base.
Formula: 2 lw + 2 lh + 2 wh
Triangular Prism: A prism with a
triangular base.
Formula: Area of the base times 2
plus the area of each side.
2.)
Steps:
Write the formula.
Find the measurements for the length,
the width, and the height.
Plug the measurements into the formula.
Solve.
Make sure to square the answer.
3.)
1
Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
Surface Area of Prisms
(Enriched Pre-Algebra 7-7)
Find the Surface Area for
each prism. Show all of
your work.
Surface Area: The sum of the areas
of all the surface (faces) if the threedimensional figure.
1.)
Rectangular Prism: A prism with
a rectangular base.
Formula: 2 lw + 2 lh + 2 wh
Triangular Prism: A prism with a
triangular base.
Formula: Area of the base times 2
plus the area of each side.
2.)
Steps:
Write the formula.
Find the measurements for the length,
the width, and the height.
Plug the measurements into the formula.
Solve.
Make sure to square the answer.
3.)
2
Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
Surface Area of Prisms
(Enriched Pre-Algebra 7-7)
Find the Surface Area for
each prism. Show all of
your work.
Surface Area: The sum of the areas
of all the surface (faces) if the threedimensional figure.
1.)
Rectangular Prism: A prism with
a rectangular base.
Formula: 2 lw + 2 lh + 2 wh
Triangular Prism: A prism with a
triangular base.
Formula: Area of the base times 2
plus the area of each side.
2.)
Steps:
Write the formula.
Find the measurements for the length,
the width, and the height.
Plug the measurements into the formula.
Solve.
Make sure to square the answer.
3.)
3
Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
Surface Area of a Cylinder
(Enriched Pre-Algebra 7-7)
Find the surface area for each
cylinder. Show all of your
work. Round to the nearest
tenth.
1.)
Surface Area: The sum of the areas of
all the surfaces (faces) of the threedimensional object.
Cylinder: A three-dimensional object
with circles forming the top and bottom
bases. A cylinder is made of 2 circles and
a rectangle (wraps around the object).
Formula: S.A. = 2πr² + π ∙ d ∙ h
Steps:
Find the areas of the bases (circles)
A = 2 ∙ πr²
Remember there are
two bases.
Find the area of the rectangle (around).
A=π∙d∙h
Add the areas together to find the
surface area.
Remember to square your answer.
2.)
3.)
4
Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
5
Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
Surface Area of a Cylinder
(Enriched Pre-Algebra 7-7)
Find the surface area for each
cylinder. Show all of your
work. Round to the nearest
tenth.
1.)
Surface Area: The sum of the areas of
all the surfaces (faces) of the threedimensional object.
Cylinder: A three-dimensional object
with circles forming the top and bottom
bases. A cylinder is made of 2 circles and
a rectangle (wraps around the object).
Formula: S.A. = 2πr² + π ∙ d ∙ h
Steps:
Find the areas of the bases (circles)
A = 2 ∙ πr²
Remember there are
two bases.
Find the area of the rectangle (around).
A=π∙d∙h
Add the areas together to find the
surface area.
Remember to square your answer.
2.)
3.)
6
Enriched Pre­Algebra ­ Surface Area of Prisms and Cylinders (7­7)
Surface Area of a Cylinder
(Enriched Pre-Algebra 7-7)
Find the surface area for each
cylinder. Show all of your
work. Round to the nearest
tenth.
1.)
Surface Area: The sum of the areas of
all the surfaces (faces) of the threedimensional object.
Cylinder: A three-dimensional object
with circles forming the top and bottom
bases. A cylinder is made of 2 circles and
a rectangle (wraps around the object).
Formula: S.A. = 2πr² + π ∙ d ∙ h
Steps:
Find the areas of the bases (circles)
A = 2 ∙ πr²
Remember there are
two bases.
Find the area of the rectangle (around).
A=π∙d∙h
Add the areas together to find the
surface area.
Remember to square your answer.
2.)
3.)
7