Algebra/Geometry 1 Blend
eLearning Unit #8: Volume
Lesson 2: Volume of Rectangular Prims
Perimeter is the
Name
Period
Date
around a figure. [Add up all the sides]
Area is the amount of
contained in a two-dimensional shape or
object. Area is ALWAYS measured in square units. For example in2, ft2, m2, mi2, etc.
Volume
Volume is the amount of space contained in a three-dimensional shape. Volume is
ALWAYS measured in cubic units. For example in3, ft3, m3, etc.
The most common type of prism is a rectangular prism. It is called a rectangular prism
because all sides of the prism are rectangles.
Each side of a rectangular prism is called a
.
Common problems involving volume deal with filling an object with water.
V = lwh
l = length
w = width
h = height
#1
A rectangular prism has a length of 10 inches, a width of 8 inches, and a height of 5
inches. What is the volume?
#2
A rectangular prism has a volume of 1800 in3. If the length of the prism is 10 inches
the width of the prism is 12 inches, what is the height?
#3
A block of wood is 5 inches long, 2 inches wide, and 3 inches high. What is the
volume of this block of wood?
#4
Lenny made a cube in technology class. Each edge measured 1.5 cm. What is the
volume of the cube in cubic centimeters?
#5
As shown in the accompanying diagram, the length, width, and height of Richard’s
fish tank are 24 inches, 16 inches, and 18 inches, respectively.
 What is the volume of Richard’s fish tank?
 Richard doesn’t want to completely fill his fish
tank because it could overflow. He plans on
filling the tank to a height of 15 inches. How
much water will be in Richard’s tank?
 Richard is filling his fish tank with water from a hose at a rate of 250 in3 per minute.
How long, to the nearest minute, will it take to fill the tank to a depth of 15 inches?
#6
The diagram below represents Joe’s two fish tanks.
Joe’s larger tank is completely filled with water. He takes water from it to
completely fill the small tank. Determine how many cubic inches of water will
remain in the larger tank.
Let’s plan it out….
 First let’s determine how much water will be in the large fish tank.
 Second, let’s determine how much water will fill the smaller fish tank.
 If we want to determine how much water is left in the larger fish tank, what should
we do with the two volumes we just found?