The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. The hole will be 42 ft long, 36 fl wide, an 9 ft deep. To haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. The crew knows the amount of dirt the truck can hold eac trip in cubic yards. (a) Find the volume of dirt that will be hauled away in cubic yards. Use the table of conversion facts, as needed. Conversion facts for length 1 foot (f) = 12 inches (in) 1 yard (yd) = 3 feet (f) yard (yd) = 36 inches (in) (b) Each trip, the truck can haul away 13 yd' of dirt. To save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. Since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. How many trips are needed to haul away all of the dirt? Count each trip it makes the same, even if the truck isn't full. trips (c) if it costs $1275 for each trip that the truck makes, how much will it cost to haul away all the dirt? Explanation Check O 2021 McGraw Hill Education. All Rights Roserved Terms of Use Privacy Accessib Type here to search 927 PM 4/24/202

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. The hole will be 42 ft long, 36 fl wide, an
9 ft deep. To haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. The crew knows the amount of dirt the truck can hold each
trip in cubic yards.
Conversion facts for length
(a) Find the volume of dirt that will be hauled away in cubic yards. Use the table
of conversion facts, as needed.
1 foot (ft) = 12 inches (in)
ya'
1 yard (yd) = 3 feet (ft)
1 yard (yd) = 36 inches (in)
(b) Each trip, the truck can haul away 13 yd' of dirt. To save gaš, the crew wants
to take as few trips as necessary to haul all of the dirt away. Since all of the
dirt needs to be hauled away, the crew might have to take a partial load for
one trip. How many trips are needed to haul away all of the dirt? Count each
trip it makes the same, even if the truck isn't full.
trips
|(c) If it costs $1275 for each trip that the truck makes, how much will it cost to
haul away all the dirt?
Explanation
Check
O 2021 McGraw-Hi Education. All Rights Reserved. Terms of Use I Privacy Accessibl
P Type here to search
927 PM
A 40
4/24/2021
HP Laptop
Do more from anywhere.
All-day long.
Thin and light
65 mm micre-edge
beze design
100 Gen nte Core y bty
processer and
solad state dr
wnd geectso
Transcribed Image Text:The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. The hole will be 42 ft long, 36 fl wide, an 9 ft deep. To haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. The crew knows the amount of dirt the truck can hold each trip in cubic yards. Conversion facts for length (a) Find the volume of dirt that will be hauled away in cubic yards. Use the table of conversion facts, as needed. 1 foot (ft) = 12 inches (in) ya' 1 yard (yd) = 3 feet (ft) 1 yard (yd) = 36 inches (in) (b) Each trip, the truck can haul away 13 yd' of dirt. To save gaš, the crew wants to take as few trips as necessary to haul all of the dirt away. Since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. How many trips are needed to haul away all of the dirt? Count each trip it makes the same, even if the truck isn't full. trips |(c) If it costs $1275 for each trip that the truck makes, how much will it cost to haul away all the dirt? Explanation Check O 2021 McGraw-Hi Education. All Rights Reserved. Terms of Use I Privacy Accessibl P Type here to search 927 PM A 40 4/24/2021 HP Laptop Do more from anywhere. All-day long. Thin and light 65 mm micre-edge beze design 100 Gen nte Core y bty processer and solad state dr wnd geectso
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