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8
Rectangular
Prisms
A
rectangular
prism
is a
three-dimensional
shape
with six
faces
, where each pair of opposite
faces
is identical in
size
and
shape
. The
faces
are all
rectangles
, and the
edges
where the
faces
meet are all
right angles
.
Formulas
for
Rectangular
Prisms
1.
Surface Area
:
The
surface area
of a
rectangular
prism
is the total
area
of all its
faces
. The
formula
for the
surface area
(SA) of a
rectangular
prism
is:
SA = 2lw + 2lh + 2wh
where l is the
length
, w is the
width
, and h is the
height
of the
prism
.2.
Volume
:
The
volume
of a
rectangular
prism
is the amount of space it encloses. The
formula
for the
volume
(V) of a
rectangular
prism
is:
V = lwh
where l is the
length
, w is the
width
, and h is the
height
of the
prism
.
Study Guide
To understand
rectangular
prisms
better, make sure to focus on the following key
points
:- Understanding the concept of a
rectangular
prism
and being able to identify its features, such as
faces
,
edges
, and
vertices
. - Knowing the
formulas
for calculating the
surface area
and
volume
of a
rectangular
prism
, and being able to apply these
formulas
to
solve problems
. - Practicing different types of problems involving
rectangular
prisms
, such as finding the
dimensions
given the
volume
or
surface area
, or finding the
surface area
given the
dimensions
.
Practice Problems
.
Read More...
◂
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The resources above cover the following skills:
Data Analysis and Probability (NCTM)
Understand and apply basic concepts of probability
Compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models.
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