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worty [1.4K]
3 years ago
9

The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. What is the maximum volume?

Mathematics
2 answers:
Amanda [17]3 years ago
8 0

The maximum volume would be when the bottom of the box is a square.

The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.

Then to find volume multiply the length by the width by the height:

Volume = 9 x 9 x 4 = 324 cm^3

The answer would be a.

barxatty [35]3 years ago
4 0

Answer:

a. 324 cm^3

Step-by-step explanation:

The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. Therefore, the maximum volume is 324 cm^3.

36 ÷ 4 = 9 cm.

9 ⋅ 9 ⋅ 4 = 324 cm^3

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A bag contains 8 beads.
kolezko [41]

Answer:

5/8

Step-by-step explanation:

→ Work out how many red

8 - ( 2 + 1 + 2 ) = 3

→ Add up red and purple

3 + 2 = 5

→ Divide over total number of beads

5/8

3 0
1 year ago
Activity
hodyreva [135]

Answer:

The answers to each part are:

Part A.

  • <u>The quantity of apples is one-third of the quantity of grapes</u>.

Part B.

  • <u>The quantity of apples is a quarter of the quantity of strawberries</u>.

Part C.

  • <u>The number of cherries is two-elevenths of the total fruit</u>.

Step-by-step explanation:

To identify the answer in each case, you must remember that all the parts are equal, then:

Part A.

The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:

  • 1 / 3 = 1/3 (one-third)

So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.

Part B.

The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:

  • 1 / 4 = 1/4 (a quarter)

In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.

Part C.

First, you must add all the part of fruit:

  • <em>1 part apple</em>
  • <em>1 part orange</em>
  • <em>4 parts strawberry</em>
  • <em>2 parts cherry </em>
  • <em>3 parts grape</em>

The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:

  • 2 / 11 = 2/11 (two-elevenths)

Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.

3 0
3 years ago
What is the average of all the integers from 17 to 55?
natulia [17]
The average would be 36
4 0
3 years ago
The perimeter of a rectangle is 16.6km, and its area is 13.42km2. Find its length and width. length : km width : km
Otrada [13]

Answer:

l=5.12 & w=2.62

Step by step explanation:

A=l×w

13.42=lw

w=13.42/l

p = 2(l + w) \\ 16.6 = 2(l +  \frac{13.42}{l} ) \\ 16.6 = 2( \frac{ {l}^{2}  + 13.42}{l}) \\ 16.6 = 2(l + 13.42) \\ 16.6 = 2l + 26.84 \\ 2l = 26.84 - 16.6 \\ 2l = 10.24 \\ l =  \frac{10.24}{2}  \\ l = 5.12km

Since you have found the value of the length you can find the value.of the width.

w =  \frac{13.42}{l}  \\ w =  \frac{13.42}{5.12}  \\ w = 2.62km

5 0
3 years ago
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