A glass box shaped like a rectangular prism has width of 7 in., length 9 in., and height 12 in. . It is being shipped in a bigger box with width 10 inches, length 10 inches, and height 15 inches. The space between the box and the shipping box will be filled with Styrofoam peanuts. How many cubic inches of space will contain the peanuts? Show all work.
Help! I don't get it!!!
10*10*15 - 7*9*12 = 744? I think that's right??????
Yes. 744 cubic inches
why would you subtract?
Because the smaller square is inside a bigger square, meaning there's still space left behind.
A shipping box is shaped like a rectangular prism. The
wide, 3 feet long, and 14 feet tall. What is the volume of the shipping
box?
Ah, the joys of shipping and packing puzzles! Let's calculate the volume of both boxes first:
The volume of the glass box (rectangular prism) is given by length × width × height, so:
Volume of glass box = 9 in × 7 in × 12 in = 756 in³
Now, let's move on to the bigger shipping box:
Volume of shipping box = 10 in × 10 in × 15 in = 1500 in³
The space filled with Styrofoam peanuts will be the difference between these two volumes:
Space for Styrofoam peanuts = Volume of shipping box - Volume of glass box
Space for Styrofoam peanuts = 1500 in³ - 756 in³ = 744 in³
So, you will need approximately 744 cubic inches of peanuts to fill the space between the glass box and the shipping box. But hey, just imagine all the fun you'll have with the peanuts when you unpack! They're like little clown confetti, always ready to surprise you.
To find the volume of the space that will contain the peanuts, we need to calculate the difference between the volume of the shipping box and the volume of the glass box.
First, let's find the volume of the shipping box:
Volume of shipping box = Width x Length x Height
= 10 in x 10 in x 15 in
= 1500 cubic inches.
Next, let's find the volume of the glass box:
Volume of glass box = Width x Length x Height
= 7 in x 9 in x 12 in
= 756 cubic inches.
Now, to find the volume of the space that will contain the peanuts, we subtract the volume of the glass box from the volume of the shipping box:
Volume of space for peanuts = Volume of shipping box - Volume of glass box
= 1500 cubic inches - 756 cubic inches
= 744 cubic inches.
Therefore, there will be 744 cubic inches of space that will contain the peanuts.