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
mars1129 [50]
2 years ago
14

Calculate the volume of each solid. 14 cm 18 cm 22 cm 19 cm

Mathematics
1 answer:
Amanda [17]2 years ago
5 0

9514 1404 393

Answer:

  10,450 cm³

Step-by-step explanation:

The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...

  A = bh . . . . . area of rectangle with base b and height h

  A = 1/2bh . . . area of triangle with base b and height h

Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...

  Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)

  Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².

Then the volume of the figure is ...

  V = Bh = (475 cm²)(22 cm) = 10,450 cm³

_____

<em>Additional comment</em>

Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.

You might be interested in
3^-6 times 3^4 ( the ^is exponents)
Reika [66]
3^-2 coz when its times you add the powers so its -6 + 4
8 0
2 years ago
Read 2 more answers
Find the derivative of f at x. that is, find f '(x). f(x) = 7x + 8; x = 5
REY [17]
F(x) = 7x + 8

f'(x) = 7

The answer is D.
8 0
3 years ago
If two lines intersect in the same plane to form a right angle, what can be concluded?
zheka24 [161]
That it forms an angle of 90 degrees
5 0
3 years ago
An audio cable is 15.9 dm long. How long is the cable in meters?
Arisa [49]

Answer:

1.57m

Step-by-step explanation:

hope this is correct good luck

6 0
3 years ago
Read 2 more answers
Solve application problems using quadratic equations. 1. A positive real number is 4 less than another. When 8 times the larger
Dvinal [7]

Hello, let's  note a the positive real number.

<em><u>A positive real number is 4 less than another.</u></em>

So, the other number is a - 4

<u><em>When 8 times the larger is added to the square of the smaller, the result is 96.</em></u>

So, we need to solve the following equation.

8a+(a-4)^2=96

Let's do it!

8a+(a-4)^2=96\\\\8a+a^2-8a+16=96\\\\a^2=96-16=80=4^2*5\\\\a=\pm4\sqrt{5}

As a is positive, there is only one solution which is.

\Large \boxed{\sf \bf \ \ a=4\sqrt{5} \ \ }

Thank you.

3 0
3 years ago
Other questions:
  • What are the roots of the equation y=x^2 -5x-24
    13·1 answer
  • #7) Who is correct?
    10·1 answer
  • A important study in the history of case-control methods was completed in 1950 by Doll &amp; Hill. This study found that 647 of
    11·1 answer
  • Help needed please extra points given
    10·1 answer
  • Which of the following is true?
    8·1 answer
  • Look at the graph shown:
    13·2 answers
  • What is the distance between the points (- 5, - 4) and (3, - 3) on a coordinate plane? Help asappp
    15·1 answer
  • The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
    11·1 answer
  • Add my friend windows 86
    15·1 answer
  • C =tid circumference = 3.14 x diameter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!