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
tangare [24]
2 years ago
9

What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

ch numbers you multiplied to find the volume. You may want to use the formula for volume to find the solution.

Mathematics
1 answer:
Sphinxa [80]2 years ago
8 0

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

You might be interested in
What is 3.2Kg given to nearest 100g
vova2212 [387]
3.2x1000=3200
And that's your answer: 3200

Hope this helps :)
5 0
3 years ago
A rental car company charges $22.15 per day to rent a car and $0.07 for every mile driven. Aubrey wants to rent a car, knowing t
Luda [366]

The number of days that Aubrey can drive to stay in her budget is 5 days.

<h3>Inequality signs and their meanings</h3>

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

<h3>Equation that represents the question</h3>

Total amount that can be spent ≤ (cost to rent a car per day x number of days) + (cost per mile x total miles driven)

$130 ≤ ($22.15 x dd) + ($0.07 x 275)

<h3>Determination of the number of days that Aubrey can drive</h3>

130 ≤ ($22.15dd) + ($0.07 x 275)

130  ≤  $22.15dd + 19.25

130 - 19.25  ≤ $22.15dd

110.75  ≤ 22.15d

d  ≤ 110.75 / 22.15

d  ≤ 5

To learn more about inequality, please check: brainly.com/question/5031619

8 0
3 years ago
In 24 weeks Amanda earned $4,924 selling cars. She earns the same amount of money each week. Let “n” stand for the amount she ea
Margaret [11]
You would divide 4924 by 24 and get about 205
6 0
2 years ago
Read 2 more answers
A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3?
scoundrel [369]

Answer:

5x - 5

Step-by-step explanation:

To find the missing side, add the two sides together and subtract them from the perimeter.

side 1 + side 2

3x + 2 + 8x + 7

combine like terms

11x + 9

Subtract from the perimeter

16x + 4 - (11x + 9)

rewrite as an addition problem, so you need to change the signs inside the parentheses.

16x + 4 + (-11x -9)

Now combine like terms

5x - 5

8 0
2 years ago
Composite figures are really confusing me and I need help
Darya [45]
All you do is 104 times 50 and then you get your anwser
3 0
3 years ago
Other questions:
  • What is the range of f(x) = – 4?
    11·2 answers
  • Which graph represents y=x-2
    6·2 answers
  • Find the area to the combined rectangle
    12·1 answer
  • How do you find the area of a parallelogram
    11·1 answer
  • A semi circle has a radius 8.2 cm
    7·2 answers
  • Taikan has 3 riffle tickets. One hundred were sold. If his name was not drawn for the first place prize, what is the probability
    15·2 answers
  • NEED AN ANSWER ASAP
    6·1 answer
  • Need a quick answer please
    14·1 answer
  • Which ratio is greater? 4:3 or 7:9. (Show necessary steps and calculations for your answer)
    10·2 answers
  • Help i need itbdbdbdbsb
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!