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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.
volume of prism = 7*9*12 inches^3=
= 756 inches^3
volume of shipping box = 10*10*15 inches^3
= 1500 inches^2
styrofoam = 1500-756 inches^3
= ....
volume of prism = 7*9*12 inches^3=
= 756 inches^3
volume of shipping box = 10*10*15 inches^3
= 1500 inches^2 And here you go! :/
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Find the area of the complex figure.
A figure has 8 sides; all sides meet at right angles. The left-most vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The right-most vertical side measures 31 meters. The upper right horizontal side measures 23 meters. The middle horizontal side measures 23 meters. The upper middle left vertical side measures 12 meters.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the area of the complex figure.
A figure has 8 sides; all sides meet at right angles. The left-most vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The right-most vertical side measures 31 meters. The upper right horizontal side measures 23 meters. The middle horizontal side measures 23 meters. The upper middle left vertical side measures 12 meters.
y = 10 x + 4
(-2, -16)
(-1 , -6)
(0 , +4}
(1 , 14)
(2 , 24)
To find the volume of the space between the glass box and the shipping box, we need to subtract the volume of the glass box from the volume of the shipping box.
The volume of a rectangular prism is given by the formula: Volume = Length * Width * Height.
For the glass box:
Width = 7 inches
Length = 9 inches
Height = 12 inches
To find its volume:
Volume of glass box = 7 inches * 9 inches * 12 inches = 756 cubic inches
For the shipping box:
Width = 10 inches
Length = 10 inches
Height = 15 inches
To find its volume:
Volume of shipping box = 10 inches * 10 inches * 15 inches = 1500 cubic inches
Now, subtract the volume of the glass box from the volume of the shipping box to find the volume of the space between them:
Volume of space for Styrofoam peanuts = Volume of shipping box - Volume of glass box
Volume of space for Styrofoam peanuts = 1500 cubic inches - 756 cubic inches = 744 cubic inches
Therefore, 744 cubic inches of space will contain Styrofoam peanuts.