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.?(1 point)
Responses
A. 157 1/2 in.3 and yes, the item should fit inside the prism.
B. 15 in.3 and no, the item will not fit inside the prism.
C. 3,780 2/4 in.3 and no, the item will not fit inside the prism.
D. 160 in.3 and yes, the item should fit inside the prism.
To find the volume of a rectangular prism, you multiply the length, width, and height together.
Volume of the given rectangular prism:
Volume = (10 1/2) in. * (6 2/3) in. * (2 1/4) in.
Volume = (21/2) in. * (20/3) in. * (9/4) in.
Volume = 157 1/2 in.3
Since the volume of the rectangular prism is 157 1/2 in.3, the item with dimensions of 8 in. x 6 in. x 2 in. should fit inside the prism. Therefore, the correct answer is:
A. 157 1/2 in.3 and yes, the item should fit inside the prism.