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3 years ago

A box has a volume of 22 1/2 in³. Find the length of the box!

Mathematics

1 answer:

aliya0001 [1]3 years ago

3 0

Answer:

Length = 2.823 in (to 3 decimal places)

Step-by-step explanation:

assuming that the box is a cubic box:

volume of box = $22\frac{1}{2}$ in³ = 22.5 in³

volume = Length × Length × Length = (Length)³

∴ (Length)³ = 22.5

∴ Length = ∛(22.5)

using the calculator punch ∛(22.5), and the answer is:

∴ Length = 2.823 in (to 3 decimal places)

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Applying the Procedure

Verizon [17]

Answer:

15 Square Inches

Step-by-step explanation:

Volume of the cone=40 cubic inches

Height of the cone=8 Inches

Step 1: Applying the formula for the volume of a cone

Volume of a Cone $=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height$

Step 2: Substituting values for the variables

$40=\frac{1}{3} X $Base Area X 8$

Step 3: Simplifying the right side

$40=\frac{8}{3} X $Base Area$

Step 4: Multiplying by the reciprocal

$40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\$

Therefore, Base Area of the Cone=15 Square Inches

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3 years ago

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Step-by-step explanation:

$slope = \frac{4 - 0}{2 - 3} \\ slope = \frac{4}{ - 1} \\ slope = - 4$

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3 years ago

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tia_tia [17]

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3 years ago

Greatest to least 73.05 74.01 73.50

marissa [1.9K]

Greatest to least:
74.01, 73.50, 73.05

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3 years ago

Read 2 more answers

Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi

notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{68-74}{6}$

$z=\frac{-6}{6}=-1$

Now let us find z-score for 86.

$z=\frac{86-74}{6}$

$z=\frac{12}{6}=2$

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,

$P(-1$