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expeople1 [14]
3 years ago
8

A glass box shaped like a rectangular prism has width 7 inches, length 9 inches, and height 12 inches. It is being shipped in a

larger box with width 10 inches, length 10 inches, and height 15 inches. The space between the glass box and the shipping box will be filled with Styrofoam peanuts. How many cubic inches of space will contain Styrofoam peanuts? Show all work.
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

744 in³

Step-by-step explanation:

Since you are filling the larger box with both rectangular prism and Styrofoam peanuts, you need to find the overall volume of the larger box and subtract the volume of the glass box to find the amount of space that the Styrofoam peanuts need to take up.  

Volume (prism) = Bh, where B = area of the base, h = height

Larger Box:  V = 10 x 10 x 15 = 1500 in³

Glass Box: V = 7 x 9 x 12 = 756 in³

1500 - 756 = 744 in³ of Styrofoam peanuts

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Simplify (3x – 5) + (5x + 1).
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(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

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First we will open the bracket having negative notation outside.

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In an arithmetic series, the sum of the first 12 terms is equal to ten times the sum of the first 3 terms. If the first term is
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Answer:

Step-by-step explanation:

The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

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n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

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