Question

What is the volume of a rectangular prism that has a height of 1012 in., a length of 623 in., and a width of 214 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.?(1 point)
Responses

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.


3,780/24 in.3 and no, the item will not fit inside the prism.
Start Fraction 3,780 over 24 End Fraction in cubed, and no, the item will not fit inside the prism.

157 1/2 in.3 and yes, the item should fit inside the prism.

Answer 1

The volume of the rectangular prism is:

V = height x length x width
V = 1012 in. x 623 in. x 214 in.
V = 138,243,836 in.3

The volume of the item is:

V = height x length x width
V = 8 in. x 6 in. x 2 in.
V = 96 in.3

Since the volume of the rectangular prism is much larger than the volume of the item, it should fit inside the prism. Therefore, the correct answer is:

160 in.3 and yes, the item should fit inside the prism.