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frutty [35]
3 years ago
6

Two boxes have the same volume. One box has a base that is 2 inches by 2 inches. The other box has a base that is 4 inches by 4

inches.
How many times as tall is the box with the smaller base?
Mathematics
2 answers:
Vsevolod [243]3 years ago
7 0

Answer:

It is 4 times as tall

Step-by-step explanation:

lianna [129]3 years ago
3 0

Answer:

4 times as tall.

Step-by-step explanation:

Volume of the box with the smaller base = 2*2* h1 = 4h1 where h1 is its height.

Similarly the volume of the larger base box =  4*4 * h2 = 16h2 with height h2.

So the ratio of their volumes is  16h2 / 4h1 = 4h2 / h1.

Now the volumes are equal so 4h2 = h1.

Therefore   h2 = h1/4  so h1 = 4h2.

The box with the smaller base is 4 times as tall as the other box.

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A fish tank that is 5 feet long by 3 feet wide by 3 feet high has a 2 foot cubic stone placed in the bottom how much water will
maks197457 [2]

Answer:

37ft³

Step-by-step explanation:

Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³

Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³

Volume of the water = volume of the fish tank - volume of the cubic stone

i.e Volume of the water = 45ft³ - 8ft³ = 37ft³

4 0
3 years ago
Triangles are similar. Round answer to nearest tenth (step by step)
ozzi

Answer:

13.5

Step-by-step explanation:

Similar = alike but not the same

A lot of times in geometry it would mean that they have the same shape, just different size, so first find the ratio:

6/12 = 1/2

27 * 1/2 = 27/2 = 13.5

7 0
3 years ago
Read 2 more answers
Someone please help me I’ll give out brainliest please dont answer if you don’t know
sveta [45]

Answer:

it's 1130.97

Step-by-step explanation:

V = A h.

Since the area of a circle = π r 2 , then the formula for the volume of a cylinder is:

V = π r 2 h.

7 0
3 years ago
Read 2 more answers
Put this least to greatest; 0.5,0.05,5/8 HELP PLEASE
Margarita [4]
0.05, 0.5, 5/8 

5/8 is greater than 0.5 since 0.5 = 1/2 which equals 4/8
7 0
3 years ago
In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha
VLD [36.1K]

Answer:  a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors  = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

6!=720

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

^nC_r=\dfrac{n!}{(n-r)!r!}

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

^8P_3\\\\=336

d) Number of 5-digit zip codes are possible is given by

^{10}P_5=30240

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

^{10}C_3=120

Hence, a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

6 0
3 years ago
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