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larisa86 [58]
3 years ago
7

Plz answer asap i need to graduate this week

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Question 1:

For this case we have that by definition, the volume of a prism is given by:

V = a * b * c

Where:

a: It is the long

b: It is the width

c: It is the height

According to the data we have:

a = 18m\\b = 9m\\c = 6m

Substituting:

V = 18 * 9 * 6\\V = 972

Thus, the volume of the building is972 \m ^ 3

Answer:

Option B

Question 2:

For this case we have that by definition, the volume of a prism is given by:

V = a * b * c

Where:

a: It's the long

b: It is the width

c: It is the height

According to the data we have:

a = 26in\\b = 14in\\c = 18in

Substituting:

V = 26 * 14 * 18\\V = 6552

Thus, the volume of the tank is 6552 \in ^ 3

Answer:

Option A

Question 3:

For this case we have that by definition, the volume of a cube is given by:

V = l ^ 3

Where:

l: It's the side of the cube

According to the data we have that the cube side is 7.2ft.

Substituting we have:

V = (7.2) ^ 3\\V = 373.25

Rounding off we have that the volume of the cube is 373.25 \ ft ^ 3

Answer:

Option B

Question 4:

For this case we have that by definition, the volume of a cube is given by the following formula:

V = l ^ 3

Where:

l: It's the side of the cube

According to the data we have that the cube side is 4.5 yards.

Substituting we have:

V = (4.5) ^ 3\\V = 91.125

Rounding off we have the cube volume is91.13 \ yd ^ 3

Answer:

Option C

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Segon rectangle:

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Tercer rectangle:

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Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

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Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

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2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

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Amplada = 11

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2n rectangle:

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Longitud = 11 + 4 = 15

3r rectangle:

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