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
dolphi86 [110]
3 years ago
10

Find the width of the rectangular prism when the surface area is 208 square centimeters.

Mathematics
1 answer:
ozzi3 years ago
7 0
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
You might be interested in
A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 80 feet pe
kotykmax [81]

Answer:

Step-by-step explanation:

108

5 0
2 years ago
a large storage container in the shape of a rectangular prism has the dimensions of the following: length 16.5m width 18.2m heig
Zielflug [23.3K]

Answer:

3603 boxes.

Step-by-step explanation:

Rectangular Prism is actually a cuboid.

Volume of cuboid = length * width * height.

It is given that length = 16.5 m,  width = 18.2 m, and height = 12 m. Therefore:

Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.

Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:

Number of boxes to be fit = Volume of Large container/Volume of Small Container.

Number of boxes = 3603.6/1 = 3603 boxes.

Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!

4 0
3 years ago
Drag a figure into each blank space so that the two figures in the row match the description.
LUCKY_DIMON [66]
What’s the description?
7 0
3 years ago
Which of the following expression is an algebraic expression *<br> 23(40)<br> 25/4<br> 6x<br> 12x12
mariarad [96]

Answer:

i think 6x

Step-by-step explanation:

cz we have a variable

8 0
3 years ago
Read 2 more answers
A new grocery store is expected to have a fair market value of $2,856,000. It will be assessed at 40%, and the tax rate is $5.24
olganol [36]
Assessed Value = (Fair Market Value) x (0.40) Where 0.40 is the decimal equivalent of 40%. Tax Rate = $5.24/$100 of assessed value = $0.0524 per dollar of assessed value. Taxes = (Assessed Value) x (Tax Rate) = (Assessed Value) x ($0.0524) Hope this helps!
4 0
3 years ago
Read 2 more answers
Other questions:
  • W +14÷4 times W +6 equals .75
    7·1 answer
  • If X is a r.v. such that E(X^n)=n! Find the m.g.f. of X,Mx(t). Also find the ch.f. of X,and from this deduce the distribution of
    15·1 answer
  • A certain delivery service offers both express and standard delivery. 75% of parcels are sent by standard delivery, and 25% are
    6·1 answer
  • A football team consists of 20 each freshmen and sophomores, 15 juniors and 10 seniors. Four players are selected at random to s
    13·1 answer
  • PLEASE HELP
    5·1 answer
  • PLSSS.<br> :)))))))(( HELP!!!!!
    9·2 answers
  • Joshua bought several pairs of shoes. Each pair of shoes cost $10. Which algebraic expressions represents the total cost of the
    11·1 answer
  • The radius of a sphere measures 2 units What is its surface area?
    7·2 answers
  • Help ASAP, I’ll give brainliest <br> Show work ty
    7·1 answer
  • Find the exact interest for $52,600 at 8.5% for 82 days
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!