All categories

4 years ago

Given a cube with a volume of 27cm3, what is the volume of a square pyramid?

1 answer:

5 0

First from the information we have, we see that the volume of the cube is 27cm3. So what are the dimensions of its length, width and height? This information will help us to determine the dimensions of the square pyramid.

Volume of a cube is found from the formula V = a3

Where V is volume, and a is the length of one side.

We expand this equation to be:

V= a * a * a

Since all sides of a cube are equal, then this equation will be:

27 = 3 * 3 * 3

Now we know the length width and height of the cube.

Volume of a square pyramid is given by the formula V =1/3ah

Where V is the volume, a is the area of the base of the pyramid, h is the height of the pyramid.

Since it fits perfectly into the cube, then its dimensions are the same as the cube, so:

Area of the base is Length * Width so:

a = 3 * 3 = 9

and height:

h = 3

Now therefore:

V = 1/3 * 9 * 3

V = 1/3 * 27

V = 27/3

V = 9 cm3

Read more on Brainly.com - brainly.com/question/11049932

You might be interested in

Pls help me and give steps as to how to do it thank you

andrew11 [14]

Answer: $x=13, y=132$

Step-by-step explanation:

Using the same-side interior angles theorem, $y=132$ .

Using the alternate interior angles theorem, $5x-17=48 \implies x=13$

7 0

1 year ago

(–5, –6) a solution to this system of equations?<br><br> 12x − 8y = –12<br> 7x − 6y = 1

wel

Answer:

x,y=-5,-6

Step-by-step explanation:

8 0

3 years ago

Please help ASAP cannot get this question wrong!!

Yakvenalex [24]

Answer:

The answer is D

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Five companies (A, B, C, D, and E) that make elec- trical relays compete each year to be the sole sup- plier of relays to a majo

NNADVOKAT [17]

Answer:

$P(a | e') = 0.22$

$P(b | e') = 0.28$

$P(c | e') = 0.33$

$P(a | e' , d' , b') = 0.57$

Step-by-step explanation:

From the question we are told that

The probabilities are

Supplier chosen A B C

Probability P(a) = 0.20 P(b) = 0.25 P(c) = 0.15

D E

P(d) = 0.30 P(e) = 0.10

Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

$P(a | e') = \frac{P (a \ and \ e')}{P(e')}$

$P(a | e') = \frac{P (a)}{P(e')}$

$P(a | e') = \frac{P (a)}{1- P(e)}$

=> $P(a | e') = \frac{ 0.20}{1- 0.10}$

=> $P(a | e') = 0.22$

Generally the new probability of companies B being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

$P(b | e') = \frac{P (b \ and \ e')}{P(e')}$

$P(b | e') = \frac{P (b)}{P(e')}$

$P(b | e') = \frac{P (b)}{1- P(e)}$

=> $P(b | e') = \frac{ 0.25}{1- 0.10}$

=> $P(b | e') = 0.28$

Generally the new probability of companies C being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

$P(c | e') = \frac{P (c \ and \ e')}{P(e')}$

$P(c | e') = \frac{P (c)}{P(e')}$

$P(c | e') = \frac{P (c)}{1- P(e)}$

=> $P(c | e') = \frac{ 0.15}{1- 0.10}$

=> $P(c | e') = 0.17$

Generally the new probability of companies D being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

$P(d | e') = \frac{P (d \ and \ e')}{P(e')}$