The volume of the shelter is 1108.25 cu. ft.
<h3>What is a Cuboid?</h3>
A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.
The volume is the space occupied by it in a three-dimensional figure.
The volume of a cuboid whose length is l,
The width is w, and
Height is h.
V = length * Width * Height
V = lwh
The length of the shed is 16.25 ft.
The width of the shed is 11 ft.
The height of the shed is 6 1/5 ft
The height of the shed is 31/5 = 6.2ft.
The volume of the shed is given by
V = 16.25 * 11 * 6.2
V = 1108.25 cu.ft
Therefore, the shed has a volume of 1108.25 cu.ft.
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Answer:
Step 1: 8 + 16x Step 2: 4(4) + 4(12x) Step 3: 4(4 + 12x) Step 4: Dimensions of the rectangle are 4 and 4 + 12x In which step did the student first make an error and what is the correct step? Step 3; 4 + (4 + 12x) Step 3; 4 + (4 ⋅ 12x) Step 2; 4(2) + 4(4x) Step 2; 4(2) + 4x(2)
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:

per mile
Plan 2:

per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.


Collect Like Terms


Solve for x


Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.




<em>Hence, the amount is $65</em>