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
AlladinOne [14]
3 years ago
12

Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas?

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
Calculate the volume and surface areas of both rectangular prisms for each option.

A:

Rectangular Prism #1
\sf V=lwh
\sf V=(8)(5)(6)=240~ft^3

\sf A=2((8)(5)+(6)(5)+(6)(8))
\sf A=236~ft^2

Rectangular Prism #2
\sf V=lwh
\sf V=(5)(6)(8)=240~ft^3

\sf A=2((5)(6)+(8)(6)+(8)(5))
\sf A=236~ft^2

This is incorrect, they have the same volume of 240 cubic feet and the same surface areas.

B:

Rectangular Prism #1
\sf V=lwh
\sf V=(8)(5)(6)=240~ft^3

\sf A=2(wl+hl+hw)
\sf A=2((8)(5)+(6)(5)+(6)(8))
\sf A=236~ft^2

Rectangular Prism #2
\sf V=lwh
\sf V=(10)(8)(3)=240~ft^3

\sf A=2(wl+hl+hw)
\sf A=2((10)(8)+(3)(8)+(3)(10))
\sf A=268~ft^2

\boxed{\sf Correct~Answer}: Both have the same volume of 240 cubic feet, but different surface areas.

C:

Rectangular Prism #1
\sf V=lwh
\sf V=(15)(8)(2)=240~ft^3

\sf A=2(wl+hl+hw)
\sf A=2((15)(8)+(2)(8)+(2)(15))
\sf A=332~ft^2

Rectangular Prism #2
\sf V=lwh
\sf V=(6)(4)(15)=360~ft^3

\sf A=2(wl+hl+hw)
\sf A=2((6)(4)+(15)(4)+(15)(6))
\sf A=348~ft^2

This is incorrect, they have different surface areas, but only Rectangle #1 has a volume of 240 cubic feet.

D:

Rectangular Prism #1
\sf V=lwh
\sf V=(12)(6)(5)=360~ft^3

\sf A=2(wl+hl+hw)
\sf A=2((12)(6)+(5)(6)+(5)(12))
\sf A=324~ft^2

Rectangular Prism #2
\sf V=lwh
\sf V=(8)(10)(3)=240~ft^3

\sf A=2(wl+hl+hw)
\sf A=2((8)(10)+(3)(10)+(3)(8))
\sf A=268~ft^2

This is incorrect, they both have different surface areas but only Rectangle #2 has a volume of 240 cubic feet.
You might be interested in
What is the slope of (2,-12), (18,15)
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

The slope of a line given two points (x_0,y_0) and (x_1,y_1) is

m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}

7 0
2 years ago
Zach is 3 years older than twice his sister Maya’s age.
Flauer [41]
The answer is z=2m+3 so the first one is right
8 0
3 years ago
Read 2 more answers
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24
melisa1 [442]

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

H_0: p = 0.88

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

H_a: p < 0.88

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that \mu = 0.88, \sigma = \sqrt{0.88*0.12}

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that n = 160, X = \frac{138}{160} = 0.8625

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}

z = -0.68

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

7 0
2 years ago
Find the product of 27.01 and 9
SCORPION-xisa [38]

Answer:

243.09

hope it helped

8 0
2 years ago
Read 2 more answers
UREGNT -- BRAINLIEST!
Nady [450]

Answer:

12

Step-by-step explanation:

∛1728 = ∛2*2*2*2*2*2*3*3*3*3 = 2*2*3 = 12

3 0
3 years ago
Read 2 more answers
Other questions:
  • -5/3-9/2x=3/2<br> Simplify as much as possible
    11·1 answer
  • The equation of a circle is given below.
    9·1 answer
  • Harold and his friend both enjoy running long distances.Yesterday Harold ran 8 2/4 miles and his friend ran 4 3/4 miles. How man
    11·1 answer
  • Answers? Sodiejjrjejwjwkskskd
    15·1 answer
  • To place and as in a newspaper, it cost $8 plus $0.75 for each line. Write and evaluate an expression to find the total cost for
    5·1 answer
  • Solve the set of equations <br> x-y=4<br> 2x+y=9
    13·1 answer
  • Please help please <br> It due asap
    10·2 answers
  • Can someone please help me??
    10·2 answers
  • So what is the actual answer?
    10·2 answers
  • Alex is a stockbroker. He earns 12​% commission each week. Last​ week, He sold ​$ 7,200worth of stocks. How much did he make las
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!