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muminat
3 years ago
15

Find the volume of the rectangular prism , in cubic centimeters please answer

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

the volume of the rectangular prism = 166.336 cubic cm

Hence, option C is correct. 

Step-by-step explanation:

We can determine the volume of the rectangular prism using the formula given below.

The volume of the rectangular prism = Base area x Height

<u><em>Determining the Base area:</em></u>

Given

  • Length l = 3.2 cm
  • Width w = 4.6 cm

Area of the Base area = l × w

                                     = 3.2 × 4.6

                                     = 14.72 cm²

Thus, the area of the Base area = 14.72 cm²

As the height h = 11.3 cm

Thus,

The volume of the rectangular prism = Base area x Height

                                                             = 14.72 x 11.3

                                                             = 166.336 cubic cm

Therefore, the volume of the rectangular prism = 166.336 cubic cm

Hence, option C is correct.                                                    

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Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

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let the width of the rectangle = W

The subjective function is given by;

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Substitute in the value of L into subjective function;

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\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

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L = 12.728 m

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Since the equation has x-values, you would give the first number (x-coordinate) as your answer.

 

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