Ask question

Ask question

All categories

Anastaziya [24]

3 years ago

7

A rectangular package can be sent through the mail only if the sum of its length and girth is not more than 120". find the dimen

sions of the box of maximum volume that can be sent if the base of the box is square.

2 answers:

Bingel [31]3 years ago

4 0

Knowing that a square gives the optimum area;

120=s²
√120=s
√2×2×2×5×3=s
2√2×3×5=s
2√30=s

Therefore, the length should be ≈10.95"

Hope I helped :)

Lemur [1.5K]3 years ago

4 0

The answer I got is: 40x20x20 where the length is 40 and the height and width are 20 each. Here's my work: (Let me know if you have any questions.

You might be interested in

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price

Over [174]

$\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}$

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

$\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}$

$\large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}$

$\large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}$

$\large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}$

$\large{ \tt{⇢ \: 113 \: SP = 406800}}$

$\large{ \tt{⇢ \: SP = \frac{406800}{113} }}$

$\large{ \tt{⇢ \: SP = 3600}}$

Hence , SP = Rs 3600

$\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}$

Let Marked Price [ MP ] be x.

$\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}$

$\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}$

$\large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}$

$\large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}$

$\large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}$

$\large{ \tt{⇾ \: 90x = 360000}}$

$\large{ \tt{⇾ \: x = \frac{360000}{90} }}$

$\large{ \tt{⇾ \: x = Rs \: 4000}}$

$\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}$

Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)

6 0

3 years ago

A 39 inch piece of steel cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is t

dalvyx [7]

The length of the first piece is 4 the second piece is 8 and the third piece is 27. Your Welcome

4 0

3 years ago

A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note

Mariulka [41]

Answer:

The difference between their volumes is $237.375ft^3$

Step-by-step explanation:

The attachment completes the question.

For cube 1:

$s_1 = 8ft$

For cube 2:

$s_2 = 6.5ft$

Required

The difference in their volumes

First, we calculate the volume of box 1

$V_1 = s_1^3$

Substitute 8 for s1

$V_1 = 8^3$

$V_1 = 512ft^3$

Next, we calculate the volume of box 2

$V_2 = s_2^3$

Substitute 6.5 for s2

$V_2 = 6.5^3$

$V_2 = 274.625ft^3$

The difference is then calculated as:

$Difference = |V_1- V_2|$

$Difference = |274.625- 512|$

$Difference = |-237.375|$

$Difference = 237.375$

Hence, the difference between their volumes is $237.375ft^3$

6 0

3 years ago

Mike is 5 more than twice Carl's age. Mike's age plus Carl's age is 41. How old is<br> Mike?

ohaa [14]

Mike is 29.

5+2x+x=41
5+3x=41
3x=36
x=12

5+2x=Mike’s Age
5+2(12)= Mike’s Age
29= Mike’s Age

3 0

3 years ago

Yancy estimates that the product of a fraction and a decimal is 10. Which expression could represent the fraction and the decima

Pani-rosa [81]

A) it comes out to be 10.3225

7 0

3 years ago