All categories

3 years ago

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

You might be interested in

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.

The quantity of apples is one-third of the quantity of grapes.

Part B.

The quantity of apples is a quarter of the quantity of strawberries.

Part C.

The number of cherries is two-elevenths of the total fruit.

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, the quantity of apples is one-third of the quantity of grapes 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, the quantity of apples is a quarter of the quantity of strawberries 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:

1 part apple
1 part orange
4 parts strawberry
2 parts cherry
3 parts grape

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 the number of cherries is two-elevenths of the total fruit.

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

Please help this is due in 5 minutes

Brilliant_brown [7]

1st one Explains Wht it is and y.

8 0

3 years ago