1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ikadub [295]
3 years ago
10

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

are foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed. Express the volume of the shed as a function of the (length of each) side of the square base
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

\frac{a(450-8a^2)}{4}

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

=4a^2+4ah+4a^2\\=8a^2+4ah = 450h = \frac{450-8a^2}{4a}

Now coming to volume

Volume = V = lbh = a^2 h\\= a^2*\frac{450-8a^2}{4a} \\=\frac{a(450-8a^2)}{4}

You might be interested in
28 elementary schools to 16 middle schools write the ratio in simplest form
AnnyKZ [126]
28 to 16

Divide both numbers by 4.

7 to 4
3 0
3 years ago
Read 2 more answers
What is 13 time 6 plus 3
inessss [21]

Answer:

81

Step-by-step explanation:

13 * 6 is 78

78 + 3 is 81

~hope this helps~

3 0
2 years ago
Which strategy did companies use to stop strikes from growing?
Nastasia [14]

Answer:

They hired workers to cross the picket line if a group of workers went on strike.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A path is traced from point A to point B by using the segments shown in the diagram. Paths are traced only upwards, to the right
balu736 [363]

Step-by-step answer:

If one is constrained to move to the right, or up, or diagonally upwards (i.e. remain in the first quadrant), then

there are three choices at A.

At the next position, whichever path one has taken, there are also three choices.

At the following position, there are no more choices.

Therefore, there are 3*3 = 9 different paths.

5 0
3 years ago
Joe had $100. He bought m books for n dollars each. How much money does he have left?
Gwar [14]

Answer:

100-mn

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?
    5·2 answers
  • A line is defined by the equation y = 2/3 x - 6 The line passes through a point whose y-coordinate is 0. What is the x-coordinat
    14·1 answer
  • Ex 9-9 Straight-line depreciation ObJ. 2
    11·1 answer
  • A square has a side of 3x - 4 what is the area of the Square in terms of x?
    10·1 answer
  • Identify horizontal or vertical compression stretch of the function g(x) = 6x
    10·1 answer
  • 24 - 6(2x-4) = 8x - 32
    8·1 answer
  • 4. The base of a triangle is 4 3/4ft. The height of the
    14·1 answer
  • Question 1.
    15·1 answer
  • Question is on the picture ​
    10·2 answers
  • Write this in logarithm form √x = y
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!