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3 years ago

Which statement best describes how the volume of a square-based pyramid is related to the volume of a cube?

Mathematics

1 answer:

svetoff [14.1K]3 years ago

8 0

Answer:

The options are not clearly written but, the volume of square based pyramid is 1/6 the volume of a cube because each of the six faces of the cube will contain one square based pyramid.

Step-by-step explanation:

Let the length of each side of your cube be x

the height of each of the six enclosed pyramids would be x/2. So the volume of each pyramid would be given by:

V = (1/3) × base area × height

V = (1/3) × x^2 × (x/2) = (x^3)/6

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Elina [12.6K]

Answer:

Step-by-step explanation:

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3 years ago

What is the greatest common factor of 8m, 36m", and 12?

wlad13 [49]

Answer: 4

Step-by-step explanation:

8m = 2*2*2*m

36m^3 = 2*2*3*3*m*m*m

12 = 2*2*3

GCF=2*2

Hope this helps!!

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3 years ago

Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t

jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0

3 years ago

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 11 gallon of gas, to fill the go cart

RSB [31]

Answer:

This question is incomplete as no image was attached. Please find the missing image in the attachment. Also, this is the correct question:

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inches^3. How many full gas cans will it take to fill the go cart's gas tank?

Answer: 2 full gas cans

Step-by-step explanation:

From the image, we have the following dimensions:

length, l = 15.4 inches (in)

width, w = 10 in

height, h = 3 in.

The volume of the gas tank (which is rectangular) is given as:

$Volume = length * width * height = lwh\\\\Volume = 15.4 * 10 * 3 = 462 cubic inches = 462in^{3}$