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
Nesterboy [21]
3 years ago
9

A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.

Mathematics
2 answers:
alexandr1967 [171]3 years ago
5 0

Answer:

The area of the base is 16 ft^2

The length of the prism is  4 feet.

The width of the prism is 4 feet.

Step-by-step explanation:

The formula for volume of a prism is given by

V=Bh where B is the area of the base and h is the height

96 = B h

We know h is 6

96 = B6

Divide each side by 6

16 = B

The area of the base is 16 ft^2

Since the base is a square

B =16ft^2

since it is a square, the area is given by

B =s^2 where s is the side length

16 =s ^2

Taking the square root

4 = s

The length of the prism is  4 feet.

The width of the prism is 4 feet.

olchik [2.2K]3 years ago
4 0

Answer:

1.  square base        =  A = 16 ft² (Base area of square prism)

2. Length of prism  = 4 ft

3. Width of prism    =  4 ft

Step-by-step explanation:

given:

Volume of a square base prism (V) = 96 ft³

height (h) = 6 ft

Length (L) = L

Width (W) = W

find:

1.  square base

2. Length of prism

3. Width of prism

---------------------------------

1.

Vol of prism = base area (A) x height (h)

V = A * h

96 = A * 6

A = 96 / 6

A = 16 ft² (Base area of square prism)

2.

Length of prism = A = s²

16 = s²

s = √16

s = 4 ft.

therefore the Length of a square base prism = 4 ft

3.

square base = L = W

therefore the Width of a square base prism = 4 ft

You might be interested in
Find the missing side lengths help please?
Mars2501 [29]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How many people have a membership?​
Ymorist [56]

Answer:

38 people have a membership.

Step-by-step explanation:

That's because the bottom row shows how many years they've had the membership.

And the y axis shows how many people or the frequency of people having the membership for that amount of years.

So its a bar graph that shows you how many of the members have had the membership for a set amount of years.

So all you have to do is add up each column,

0-2 years = 6 people

2-4 years = 8 people

4-6 years = 10 people

6-8 years = 8 people

8-10 years = 6 people

6 + 8 + 10 + 8 + 6 = 38

6 0
3 years ago
What is the ANSWER and REMAINDER of 2^63 divided by 5
labwork [276]

Notice how 2^2 = 4 is one short of 5, so this means we can say 4/5 = 0 remainder 4 or we can write that "remainder 4" as "remainder -1" to say the same basic thing

Using modulus arithmetic, we can say...

2^2 = 4 = -1 (mod 5)

(2^2)^31 = (-1)^31 = -1 (mod 5)

2*(2^2)^31 = 2*(-1) (mod 5)

2^63 = -2 = 3 (mod 5)

-------------------------------------------

So the remainder of 2^63 divided by 5 is the value 3

Answer: 3

8 0
3 years ago
Observe the following pattern and find the missing digits.<br><br>​
madam [21]

Answer:

<h2>1020304030201</h2>

Step-by-step explanation:

I don't know the pattern but 1010101² is 1020304030201.

I'm always happy to help :)

7 0
3 years ago
What is the set of value used for the independent variable?
lara31 [8.8K]

Answer:

The set of all the values which may be input into a function. That is, the set of all the values the independent variable may assume. Graphically, the domain is the set of all the x-coordinates.

3 0
3 years ago
Other questions:
  • It takes Emily eight hours to paint her house. Mike can paint the same area in nine hours. Find how long it would take them if t
    14·2 answers
  • Which statement illustrates the identity property of addition?
    10·2 answers
  • If a function is derivable at a point it is also continous at that point explain why?
    14·1 answer
  • Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 22 h using both
    15·1 answer
  • A shoe store is offering a 25% discount on all pairs of shoes in the store. Every store employee gets an addtional 15% off the a
    12·1 answer
  • A small theater sold 72 tickets for a
    12·1 answer
  • Free points (5+5+10)×100​
    10·2 answers
  • Please help<br><br><br><br><br>solve the following:<br>6(x-6)-5(x-7)=x+6​
    12·1 answer
  • You can drive 450 on 18 gallons of gas how far can you travel on one gallon
    11·2 answers
  • Look for a pattern in the first three diamonds below. For the fourth diamond, explain how to find the missing numbers (?) if you
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!