What is the volume of a rectangular prism that has a height of 10 1/2 in a length of 6 2/3 in and a width of 2 1/4 in ? Is it large enough to hold an item that has a height of 8 in a length of 6 in and a width of 2 in?
Options
3,780/24 and no,the item will not fit inside the prism
157 1/2 in and yes it will fit inside the prism
15 in and no the item will not fit inside the prism
160 in and yes it will fit inside the prism
To find the volume of the rectangular prism, you multiply the height, length, and width together.
Volume = height x length x width
Volume = (21/2) x (20/3) x (9/4)
Volume = 315/2 x 20/3
Volume = 6300/6
Volume = 1050 in^3
The volume of the prism is 1,050 cubic inches.
Since the item that needs to be stored has a volume of 8 x 6 x 2 = 96 cubic inches, it can easily fit inside the prism.
Therefore, the answer is 1,050 in^3 and yes, the item will fit inside the prism.