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

15 in.3 and no, the item will not fit inside the prism.
15 in cubed and no, the item will not fit inside the prism.

15712 in.3 and yes, the item should fit inside the prism.
157 Start Fraction 1 over 2 End Fraction in cubed and yes, the item should fit inside the prism.

3,78024 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.

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

Answer 1

The volume of the rectangular prism is calculated by multiplying the height, length, and width together. Therefore, the volume is:

1012 in. * 623 in. * 214 in. = 136,157,112 in.³

This means that the volume of the prism is 136,157,112 cubic inches.

Since the item that needs to be placed in the prism has a volume of 8 in. * 6 in. * 2 in. = 96 in.³, it will easily fit inside the prism.

Therefore, the correct response is "15712 in.³ and yes, the item should fit inside the prism."