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
o-na [289]
3 years ago
14

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of

the prism
Mathematics
1 answer:
Harman [31]3 years ago
5 0
Since the base is a regular quadrilateral, each of its 4 sides must have length
  s = P/4
  s = (60 cm)/4 = 15 cm

The area of one lateral face is the product of side length and height.
  A = s×h
  105 cm² = (15 cm)×h
Then the height of the prism is
  h = (105 cm²)/(15 cm) = 7 cm

The area of the base is then
  B = s²
  B = (15 cm)² = 225 cm²

The volume of the prism is the product of its base area and height.
  V = Bh
  V = (225 cm²)×(7 cm) = 1575 cm³


The volume is 1575 cm³.
You might be interested in
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
inessss [21]

Answer:

$21.15

Step-by-step explanation:

6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90

15/5 = 3 then 3 x 4.75= 14.25

14.25 + 6.90 = 21.15

Hope this helped <3

6 0
3 years ago
Read 2 more answers
Please help me please​
bija089 [108]

Answer:

< 3, < 5

Step-by-step explanation:

< 3 is congruent to 36° due to the vertical angles rule which says that any angle across form each other is congruent

6 0
3 years ago
Read 2 more answers
Which is the most accurate description of the polygon?
kherson [118]
Let’s take a look at the definitions of all of these categories of polygon:

A rhombus is a quadrilateral with four equal-length sides

A trapezoid is a quadrilateral with at least one pair of parallel sides

A kite is a quadrilateral with two pairs of equal sides, where those sides are adjacent to each other

A quadrilateral is a four-sided polygon

And let’s compare our definitions with the figure:

- None of the sides of the figure are equal to each other, so we it can’t be a rhombus
- The slopes of all of the sides are different, so the figure can’t have a pair of parallel lines, ruling out the chance that it’s a trapezoid
- That first bullet point also rules out the possibility that our figure is a kite
- Our figure *is* a four-sided polygon though, so it meets the requirements for a quadrilateral

So, the only label that works for this figure is a *quadrilateral*.
8 0
4 years ago
Please help me!!best answer gets to be brainliest
madreJ [45]
The red light is 2 times the violet light.
8 0
4 years ago
ASAP ASAP 30 POINTS
worty [1.4K]

Answer:

A ) equivalent

Step-by-step explanation:

<333 .! :)

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write the rules for determining the sign of the product when multiplying integers. Then, write the the rules for determining the
    8·1 answer
  • If a triangle is equiangular, does it have to be equilateral?
    14·1 answer
  • If mFGH = 60, what is the value of x?<br><br><br> A.4<br> B.8<br> C.10<br> D.14
    9·1 answer
  • You bought two new CDs with the last $30 in your checking account, and your next payday is on Monday. What is the opportunity co
    14·1 answer
  • A wire 18cm long is cut into 2 pieces. the longer piece is 2 cm longer than the shorter piece. Find the lenght of the shorter pi
    8·1 answer
  • Find the area of a regular pentagon with side equal to 3 and apothem equal to K
    15·2 answers
  • What’s the solution for 6x =36
    14·2 answers
  • -(x-3)=-7 I need help with this equation
    8·1 answer
  • Which type of sides are they and explain why they’re the correct answer!
    12·1 answer
  • Last question pls help
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!