3.c
24. 4. 2013
Volume and Surface Area of Prisms
1.
Find the surface area of the triangular prism.
2. A room is 13 feet long, 11 feet wide, and 10 feet high. In the room, there are three
windows that are each 4 feet wide and 5 feet tall. If one gallon of paint covers 350 square feet,
how many gallons of paint do you need to paint the walls and door of the room? Explain.
3. a) Trailers that travel on the road behind trucks are rectangular prisms. A typical height for
the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is
the volume of the trail?
b) A shipping company wants to ship its boxes in a trailer like the one described in the first
problem. The boxes have dimensions of 2 feet by 5 feet by 3 feet which can also be written as:
2 ft x 5 ft x 3 ft. How many of these boxes can fit in the trailer if they have to be stacked so
that the bottom of each box measures 3 ft x 5 ft?
c) What is the volume of space left "over" after the trailer in the previous question has been
loaded?
4. A right prism with regular hexagonal bases has a height of 20 inches and a radius of 5
inches. What are the surface area and volume?
A yard (abbreviation: yd) is a unit of length . It is equal to 3 feet or 36 inches. Under an
agreement in 1959 between Australia, Canada, New Zealand, South Africa, the United
Kingdom and the United States, the yard (known as the "international yard" in the United
States) was legally defined to be exactly 0.9144 metres.
A foot (plural: feet; abbreviation or symbol: ft or ′ ) is 0.3048 m exactly. It is subdivided into
12 inches.
An inch (plural: inches; abbreviation or symbol: in or ″ ) is exactly 25.4 mm. Inch is defined
as 1⁄12 of a foot and is therefore 1⁄36 of a yard.
The gallon is a measure of volume that was used in many parts of Western Europe and is still
used in the United States. The imperial (UK) gallon, defined as 4.54609 litres, is used in
some Commonwealth countries and was originally based on the volume of 10 pounds of water
at 62 °F (17 °C). The US gallon, which is equal to 3.785411784 litres is legally defined as
231 cubic inches. The US dry gallon is exactly 268.8025 cubic inches or 4.40488377086 L.
The gallon was removed from the list of legally defined primary units of measure catalogue,
for trading and official purposes, with effect from 31 December 1994.