A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of l only.

Answer:

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

Step-by-step explanation:

The length of the box = [tex]l[/tex]

The height of the box = [tex]h[/tex]

The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.

The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]

hence volume = [tex]l^2 \times h =29[/tex]

Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.

[tex]h =29/l^2[/tex]

In the next phase, we are to find the surface area of the box.

The box has a square base, hence it will be made up of

2 squares with 4 rectangles. This is assuming the top is closed.

This means the surface area will be

[tex]2(l^2) +4 (l\times h)[/tex]

recall [tex]h = 29/l^2[/tex]

Hence, surface area =

[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

The surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of cuboid or box can be given as,

[tex]V=l\times b\times h[/tex]

Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.

A closed box has a square base with side length l feet and height h feet.  Therefore, the length and width will be the same.

The volume of the box is 29 cubic feet. Thus,

[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]

The surface area of the square base box is,

[tex]A=2l^2+4lh[/tex]

Put the value of height,

[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]

Hence, the surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

Please answer this HELLLPPPP!!!!!

i need help pls help me

Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.

Work out Ted's total pay for last week.​

4x-4y+4z=8
9x+3y+z=6
16x+4y+z=2

Does this graph show a function? Explain how you know.

What is the value of​ x? (trignonometry) WILL give branliest if its delivered in time

given the segments as shown for what value of x is the figure a rectangle
A. 5.
B. 7
C. 3
D. 9

A=
B=
Blank 1:
Blank2:

can somebody pls help me solve this question?

Multiple-choice questions
Tick the correct answer to each of the questions below.
1 When selling a product to your client it is important to:
a make sure it is the most expensive
b give good advice on how to use it
c make sure the sale is quick
d put it in an attractive bag
2 Always having retail products in stock is one way of:
a spending a lot of money on stock
b making more money
c leaving the salon vulnerable to theft
d keeping clients happy
3 Communication occurs between people through:
a body language and speech
b talking to the client in consultation
c verbal, non-verbal and written forms
d verbal and written forms

if w is the cube root of unity

(x-wy+w^2z)/(y+wz+w^2z)


only correct ans allowed wrong ans will be reported

Which of the following is not the equation of the graphed line

Please help ASAP it’s due tomorrow

Which direction will the box move in the diagram below?


A.It will move to the left.
B.It will move to the right.
C.It will not move.
D.It will move up.

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many preferred a trip to the beach?
Question 2 options:

1) 810


2) 1,215


3) 1,350


4) 2,025

the height of 12 students
are as below &
159, 148, 138, 150, 165, 166, 145, 152 155 160 147, 151
the mean, the median and the mode​

Sarah wants to raise her math grade to a 98 to improve her chances of winning a math scholarship. Her math average for the last marking period was an 85. By what percentage of points must Sarah raise her grade to earn a 98? No, the answer is not 13%.
Question 1 options:

approximately 15%


approximately 14%


approximately 13%


approximately 12%

Pls answer ASAP I will give brainliest answer

You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

A submarine's descent was a change in depth of -6 feet per minute. At this
rate, how much time would it take the submarine to reach a level of 750 feet
below sea level?

Oh my god please help.

Sun estimated the quotient of -23.514 and -3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?

-23.514÷-3.98

O -24÷-4=6
O -24÷4=-6
O 24÷3=8
O 24÷-3=-8

if a number, n, divided by 8 equals 2.5, what is n?

Can someone help me
With this ? Thanks so much

[tex]Y= x + 15[/tex]

Which pair of numbers is relatively prime?
A 7 and 21
B 4 and 15
C 6 and 9
D 9 and 27

the following two ratios form a proportion 4/5 and 8/10. true or false (I need quick answers pls)

HELPPP OMG help help help help i need this soon pls (you’d be a lifesaver if you did this)

The replica of the Eiffel tower at King’s Island amusement park is 1/3 the height of the original Eiffel tower in Paris, France. The height of the replica measures 350 feet. What is the height of the original Eiffel tower in Paris, France?

84.5 divided by 6261.45

Solve each inequality using addition and subtraction. Then graph each solution
set on a number line.
-7x + 5 + 8x >3,