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Sergeu [11.5K]
3 years ago
15

Huong packed 189 cubes into small, rectangular, empty box. The cubes cimpletely filled the box. The edge length of each cube was

1/2 of an inch. Which statement correctly finds justifies the box's volume based on the number of cubes packed into it ?
Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

Given

Cube:

L = \frac{1}{2}\ in

Cubes = 189

The question is incomplete. However, I will solve for the volume of the rectangular box.

First, calculate the volume of 1 cube.

Volume = Length^3

V_1 = L^3

V_1 = \frac{1}{2}^3

V_1 = \frac{1}{8}

The volume of the box is calculated by multiplying the number of cubes by the volume of the cube.

V_2 = 189 * V_1

V_2 = 189 * \frac{1}{8}\ in^3

V_2 = \frac{189}{8}\ in^3

V_2 = 23.625\ in^3

The volume of the box is 23.625\ in^3

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Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value
MArishka [77]

Answer:

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Step-by-step explanation:

<u>Given</u>

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<u>Find</u>

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<u>Solution</u>

a. Solve x plus y equals 81 for y.

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__

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

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__

c. Find the domain of the function P found in part b.

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__

d. Find dP/dx. Solve the equation dP/dx = 0.

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Answer:

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Step-by-step explanation:

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