HG U1D8 Volume: Outdoor Learning Space Aug12
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Last updated 7 months ago
12 questions
1
Warm Up
Simplify each expression.
a. (3x + 10)(3x - 5) = _______
b. (x - 5)2 = _______
c. (2x - 1)(x2 - 5x - 7) = _______
d. (3x - 5)(-x2 - 2x + 2) = _______
The image below represents the bed of a cargo truck. The truck has a height, h, of (3x) feet, a length, l, of 8 feet, and a width, w, of (30 + 4x) feet.
1
What it the capacity of the truck bed as a function of x?
Write a simplified algebraic expression to represent the volume.
V(x) = _______
1
The degree of the volume is _______ .
1
The leading coefficient of the volume is _______ .
1
The constant term of the volume is _______ .
A company uses a cargo delivery truck to transport the loads of woodchips to the schools for their playgrounds. There are two differentsized trailers connected to the truck. Both trailers will be filled with bags of woodchips to enhance the outdoor learning spaces, or playgrounds. The first trailer can transport x2 + 8x + 3 cubic feet at full capacity, and the second trailer can transport x2 + 3 cubic feet at full capacity. The truck makes 15 trips back and forth to the warehouse to refill the truck at full capacity with bags of woodchips in each trailer for each trip in order to satisfy the order for all schools.
1
Create an expression to calculate the total capacity of bags of woodchips, in cubic feet, transported across the 15 trips.
_______
1
The degree of the combined volume is _______ .
1
The lead coefficient of the combined volume is _______ .
1
The constant of the combined volume is _______ .
The Playground
The playground for each school will include the following shape to incorporate all of the playground equipment. What is the area of the space requiring wood chips? Each side is measured in feet.
1
The area of the playground is _______ .
1
Suppose that x = 3. What is the area of the playground?
Area = _______ feet2.
1
We need to cover the playground with woodchips. Woodchips come in bags. Each bag includes 2 cubic feet of woodchips. One 2 cubic foot bag covers 3 square feet. The desired depth of woodchips is 8”, how many bags does the playground require to adequately cover the space?
We need to cover the playground with woodchips. Woodchips come in bags. Each bag includes 2 cubic feet of woodchips. One 2 cubic foot bag covers 3 square feet. The desired depth of woodchips is 8”, how many bags does the playground require to adequately cover the space?