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)
Option A: 157 1/2 in.3 and yes, the item should fit inside the prism. Option B: 157 Start Fraction 1 over 2 End Fraction in cubed and yes, the item should fit inside the prism. 3,780/24 in.3 and no, the item will not fit inside the prism. Optio C: Start Fraction 3,780 over 24 End Fraction in cubed and no, the item will not fit inside the prism. 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. 160 in.3 and yes, the item should fit inside the prism.
Option A: 157 1/2 in.3 and yes, the item should fit inside the prism.
To calculate the volume of the rectangular prism, use the formula V = l x w x h where l is the length, w is the width, and h is the height.
Plugging in the values:
V = (6 2/3) x (2 1/4) x (10 1/2)
V = (20/3) x (9/4) x (21/2)
V = 140/3
V = 46 2/3
V = 46.67 in.3
Therefore, the volume of the rectangular prism is 157 1/2 in.3, and it should be large enough to hold the item with dimensions of 8 in. x 6 in. x 2 in.