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sineoko [7]
2 years ago
11

Prism A and Prism B have the same volume. Which could be the dimensions of prism B. Please help!

Mathematics
1 answer:
pentagon [3]2 years ago
4 0

Question : Prism A and Prism B have the same volume. Which could be the dimensions of prism B?

Prism A :

Length = 8 feet

Width = 4 feet

Height = 5 feet

Prism B:

Length = ? feet

Width = ? feet

Height = ? feet

Option 1:

Length = 6 feet

Width = 10 feet

Height = 2 feet

Option 2:

Length = 4 feet

Width = 4 feet

Height = 10 feet

Option 3:

Length = 5 feet

Width = 4 feet

Height = 7 feet

Option 4:

Length = 8 feet

Width = 4 feet

Height = 6 feet

Here, the dimensions of the prism B will be length = 4 feet, width = 4 feet, and height = 10 feet.

We know that if the a and b be the length and width of the base respectively and c be the height of a prism, then the volume of the prism is abc.

Given that

length of 1st prism = 8 feet

width of 1st prism = 4 feet

height of 1st prism = 5 feet

So volume of 1st prism = 8 * 4 * 5 = 160 feet³

Now the volume of 1st and 2nd prisms are the same.

So, we have to check the options for length, width, and height of the 2nd prism.

1st option:

Height = 6 feet

Width = 10 feet

Length = 2 feet

So, volume = 6 * 10 * 2 = 120 feet³

Then the 1st option is incorrect.

2nd option:

Height = 4 feet

Width = 4 feet

Length = 10 feet

So, volume = 4 * 4 * 10 = 160 feet³

Then the 2nd option is correct.

Therefore, the dimensions of the prism B will be length = 4 feet, width = 4 feet, and height = 10 feet. The 2nd option is correct.

Learn more about the volume of a prism here -

brainly.com/question/9635554

#SPJ10

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MAXImum [283]

220

from 218 the 1 is in the tens column. this is the figure that needs to be rounded.

using the following rule

If the digit after the 1 is ≥ 5 then round 1 up to 2

If the digit after the 1 is < 5 then the 1 remains as 1

here the digit after the 1 is 8 so the 1 in the ten's column becomes 2 and the 8 is replaced by 0

218 ≈ 220 ( to the nearest ten )


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<u>Correct</u><u> </u><u>question</u><u>:</u><u>-</u>

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