Hey there!
1.) For this first question, you are asked to find the volume of a rectangular prism with a length of 3 1/2, a width of 5, and a height of 1 1/2.
To solve this, you must multiply together the length, the width, and the height. This should look like this:
3 1/2*5*1 1/2
To make multiplying easier, convert the mixed fractions to an improper fraction:
3 1/2=7/2
1 1/2=3/2
Now, multiply:
7/2*5*3/2
=26 1/4
Therefore, the volume of the prism would be 26 1/4 in. cubed.
2.) To solve this, first, you must find the volume of the prism (length*width*height):
3 1/2*3 1/2*7
=87 3/4 or 87.75
Now, because the answer asks for the difference of the storage box with a volume of 90, you must subtract your first volume, 87.75 from the volume of 90. This will give you your answer, 2.25.
3.)To find the volume, multiply the length, width, and height together:
12*5 1/2*6 1/2
This will get you to your answer, 429.
4.)You would do the same as above, multiply the length, width, and height together:
1 1/2*3*5 1/2
Your final answer should be 24 3/4.
5.) To solve for this one, first multiply together the given width and the height:
11*7.5=82.5
Now, divide your volume, 948.75 by 82.5:
948.75÷82.5=11.5
Therefore, the length would be 11.5 m.
Hope this helps! :)
