4. To solve this problem, we must simply subtract the volume of the smaller box from the volume of the larger box. The formula for volume of a rectangular prism is length * width * height. So we know that the bigger box has a height of 20 inches, a length of 15 inches, and a height of 9 inches. We can multiply these together to get the volume.
20 * 15 = 300
300 * 9 = 2700
The bigger box has a volume of 2,700 cubic inches.
Now for the smaller box. This box has a length of 12 inches, a width of 8 inches, and a height of 4 inches. Let us multiply this together:
12 * 8 = 96
96 * 4 = 384
The smaller box has a volume of 384 cubic inches.
Now, we just need to subtract.
2700 - 384 = 2316
There are 2,316 cubic inches of space left in Jeff's bigger box.
5. Mrs. Nelson has plans for a flower box that has two constant side lengths, the length and height (5 feet and 2 feet). The width can be any whole number (counting number) only up to 5 feet, so there are 5 different volumes she could have. Those are:
5 * 2 * 1 = 10 cubic feet
5 * 2 * 2 = 20 cubic feet
5 * 2 * 3 = 30 cubic feet
5 * 2 * 4 = 40 cubic feet
and
5 * 2 * 5 = 50 cubic feet
The possible volumes for Mrs. Nelson's flower box are 10, 20, 30, 40, and 50 cubic feet.
So there you have it!
Hope that helped! =)
Answer:
I am introverted, like reading, and am obsessed with my hamster Cookie
I am also 11 yrs old, and short
Answer:
22 boxes were lost. Look for the happy squirrels.
Step-by-step explanation:
Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:
($25)*(325) = $8125
The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)
But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:
Resulting Income: $8125 - ($100)x = $5925
$8125 - ($100)x = $5925
$8125 - ($100)x = $5925
-100x = -2200
x = 22 boxes were lost. Zounds! [A metric term for %$%^&]
===================
<u>Check:</u> Does the loss of 22 of the 325 boxes result in a total payment of $5925?
Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575
Penalty of $75 per lost box: 22*($75) = $1650
Result: $7575 - $1650 = $5925 <u>YES</u>
The scientific notation of length of the shortest wavelength of visible light is 4.1×
units
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the United Kingdom.
Given,
The length of the shortest wavelength of visible light= 0.00000041 units
The scientific notation is
=4.1× units
Hence, the scientific notation of length of the shortest wavelength of visible light is 4.1× units
Learn more about scientific notation here
brainly.com/question/18073768
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