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
Tomtit [17]
3 years ago
9

The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

You might be interested in
Three fourths of the flowers in a floral arrangement is red roses. Write the part of the flowers that are red roses as a decimal
makvit [3.9K]

Answer:

decimal: 0.75 percent: 75%

8 0
3 years ago
The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month o
Vesna [10]

Answer:

I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)

Step-by-step explanation:

Expenses for August= 878.65 + 52.50 + 266.67 +  94.52 + 45.03 + 42.65

= $1380.02

Income-Expenses= 3750-1380.02= 2369.98

8 0
3 years ago
A sequence is defined recursively by f(1)=16 and f(n)= f(n-1)+2n. Find f(4)
lord [1]
Hi,

f(1)=16
f(2)=f(1)+2*2=16+4=20
f(3)=f(2)+2*3=20+6=26
f(4)=f(3)+2*4=26+8=34

8 0
3 years ago
Which is bigger 1/6 or 3/11?
NemiM [27]
Multiply both 1/6=11/66, 3/11=9/66. 1/6 is bigger.
8 0
3 years ago
Read 2 more answers
A movie theater sells up to 10 tickets at a time online. what is the domain of this graph
avanturin [10]

Answer:

your asking a question about a graph without showing us the graph sweet heart

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me!!!!!!!!!
    8·2 answers
  • Bathing suits are often on sale in July. The regular price of one suit is $45. With a 15% discount, what is the sale price of th
    14·2 answers
  • What is one one hundredth of 305?
    11·1 answer
  • Jesse walked 3/4 of a mile this weekend. This week he walked 1/2 as far. How far did Jesse walk this weekend?
    11·1 answer
  • As a unit rate , 137.5miles in 2.5hours would be
    13·2 answers
  • I need help with this whole math page
    13·1 answer
  • Help help help help help help help please
    15·1 answer
  • Mrs. Cupps has 8 bags of candy and each bag weighs 2.3 pounds, how much do all 8 bags weigh?
    7·1 answer
  • Find the slope and the y intercept
    14·1 answer
  • Pls can someone help me
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!