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.
The volume of the rectangular prism is calculated by multiplying the height, length, and width together.
Height: 10 1/2 in. = 21/2 in.
Length: 6 2/3 in. = 20/3 in.
Width: 2 1/4 in. = 9/4 in.
Volume = (21/2) * (20/3) * (9/4)
Volume = 315/2 in. 3
Volume = 157 1/2 in. 3
The volume of the rectangular prism is 157 1/2 in. 3, which means that the item with dimensions 8 in. by 6 in. by 2 in. should fit inside the prism.