VOLUME
of Rectangular Prisms
Unit 7
Volume is the measure of ___space____ occupied by a solid region.
The formula for the volume of a rectangular prism is __V = lwh_______.
Study Tip:
When measuring volume, the units will be “cubed.” A cubic
centimeter (cm3) is a cube whose edges all measure 1 centimeter.
Examples:
Find the volume of each rectangular prism. Round to the nearest tenth if necessary.
2.
1.
V = lwh
V = lwh
V = 7.5 ∙ 2 ∙ 4
V = 5.1 ∙ 4 ∙ 9
V = 60 in³
V = 183.6 cm³
3. Find the volume of a fish tank that is 8 feet long and 5 feet wide, if the height
is 5.5 feet?
V = lwh
V = 8 ∙ 5 ∙ 5.5
V = 220 ft³
VOLUME
of Cylinders
The formula for the volume of a cylinder is ___ V = πr²h ______________.
Find the volume of each cylinder. Use 3.14 as π. Round to the nearest tenth if
necessary.
1.
2.
V = πr²h
V = πr²h
V = 3.14 ∙ 5² ∙ 15
V = 3.14 ∙ 3² ∙ 15
V = 3.14 ∙ 25 ∙ 15
V = 3.14 ∙ 9 ∙ 15
V = 1177.5 ft³
V = 423.9 cm³
3. Find the volume of a cylinder that has a radius of 3 yards and a height of 10 yards.
V = πr²h
V = 3.14 ∙ 3² ∙ 10
V = 3.14 ∙ 9 ∙ 10
V = 282.6 yd³