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.?
A. 15 in.3 and no, the item will not fit inside the prism.
B. 157 1/2 in.3 and yes, the item should fit inside the prism.
C. 60 in.3 and yes, the item should fit inside the prism.
D. 3,780/24 in.3 and no, the item will not fit inside the prism
To calculate the volume of the rectangular prism, you can multiply the height, length, and width together:
Volume = 10 1/2 in. * 6 2/3 in. * 2 1/4 in.
Volume = 21/2 * 20/3 * 9/4
Volume = 1890/24 in.^3
Volume = 78 3/4 in.^3
Therefore, the correct answer is C. 60 in.^3, and yes, the item should fit inside the prism.