F(x)=x+1/x-2<br> find the inverse

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

bulgar [2K]

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.

5 0

4 years ago

You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answe

Trava [24]

9198.106 or 2929.3pi

4 0

3 years ago

Read 2 more answers

Help please! will give brainliest!!

Dmitriy789 [7]

It will show a negative linear correlation between x and y

5 0

3 years ago

Math question Informatin in dot plots

kozerog [31]

Answer:

Step-by-step explanation:

Range = difference between the highest and the lowest

Mode = Data that occurs the most time

Median = Arrange the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle terms.

1) Range = 28 -21 = 7

Mode = 25

Number of data (Count the total dots) = 14

Median = average of 7th and 8th term

Median = (25+25)/2 = 50/2 = 25

2) Range = 0.18 - 0.11 = 0.07

Mode = 0.15 and 0.16

Number of data = 23

Median =12th term = 0.15

8 0

3 years ago

The number of users on a website is 3700 and is growing exponentially at a rate of

jek_recluse [69]

Answer:

3034 I think

Step-by-step explanation:

3034 I think because if u multiply 3700 times 0.82 give you 3034

8 0

3 years ago

F(x)=x+1/x-2 find the inverse