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.?
Responses
157 1/2 in. 3 and yes, the item should fit inside the prism.
3,780/24 in. 3 and no, the item will not fit inside the prism.
160 in. 3 and yes, the item should fit inside the prism.
15 in. 3 and no, the item will not fit inside the prism.
To calculate the volume of the rectangular prism, we multiply the height, length, and width together.
Volume = height x length x width
Volume = (10 1/2) x (6 2/3) x (2 1/4)
Volume = (21/2) x (20/3) x (9/4)
Volume = 315/6 x 20/3
Volume = 5250/18
Volume = 275/3
Volume = 91 2/3 in. 3
Since the volume is 91 2/3 in. 3, it is large enough to hold an item that has dimensions of 8 in. x 6 in. x 2 in. because the item's volume is 8 x 6 x 2 = 96 in. 3, which is smaller than the prism's volume.
Therefore, the correct response is 91 2/3 in. 3 and yes, the item should fit inside the prism.