All categories

2 years ago

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.

2 answers:

4 0

The volume of a square pyramid is the length of the base squared times the height over three: (L^2*H/3)
So, when you plug in the numbers you get the length of the base square as 4 cm.

anzhelika [568]2 years ago

4 0

Answer:

Length of the base of a square pyramid is 4 inches

Step-by-step explanation:

the volume is 48 cubic inches and has a height of 9 inches.

Volume of the square pyramid formula is $\frac{a^2h}{3}$

Where 'a' is the length of the base of a square and h is the height of the pyramid

volume = 48 and height =9, plug in the values in the formula

Volume of the square pyramid= $\frac{a^2h}{3}$

$48=\frac{a^2 \cdot 9}{3}$

$48=3a^2$

Divide both sides by 3

$16=a^2$

Now take square root on both sides

$a=4$

Length of the base of a square pyramid is 4 inches

You might be interested in

A basketball team had four players tryout for each of the five positions. How many ways could the team be formed?

cricket20 [7]

Answer:

120

Step-by-step explanation:

i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120

5 0

2 years ago

What is 3.9 divided by 6

krok68 [10]

0.65, or in fraction form 65/100

3 0

2 years ago

Read 2 more answers

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

2 years ago

When Jaylen started high school, 1,430 students attended his school. On the day of his graduation, only 1,001 students attended

e-lub [12.9K]

429 students decreased

8 0

2 years ago

Read 2 more answers

Is 1,000 a rational number or a irrational or is it a whole number ?

ad-work [718]

Answer:

1,000 is both a rational number and a whole number.

If my answer helped, please mark me as the brainliest!!

Thank You!!

3 0

3 years ago