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3 years ago

Starks sculpture 30 cubed is a cube with sides 30 inches long. Whats its volume

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer: $27000\text{ cubic inches}$

Step-by-step explanation:

Given : Starks sculpture 30 cubed is a cube with sides 30 inches long.

We know that the volume of a cube is given by :-

$\text{Volume}=(side)^3$

Then , the volume of Starks sculpture 30 cubed will be :

$\text{Volume}=(30)^3\text{ cubic inches}$

$\text{Volume}=30\times30\times30\text{ cubic inches}$

$\text{Volume}=27000\text{ cubic inches}$

Hence, the required volume = $27000\text{ cubic inches}$

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4 years ago

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lbvjy [14]

Answer:

Step-by-step explanation:

Theres a ratio of 1:4

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3 years ago

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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of c

lutik1710 [3]

Answer:

233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

20f + 5c ≤ 7000

_____

Feasible Region vertex

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

5(20f +5c) -(40f +25c) = 5(7000) -21000

60f = 14000

f = 233 1/3

The second boundary line equation can be rearranged to find c:

c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

Check of Integer Solution

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

Selection of the Answer

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0

3 years ago

Starks sculpture 30 cubed is a cube with sides 30 inches long. Whats its volume​

Starks sculpture 30 cubed is a cube with sides 30 inches long. Whats its volume