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 given:
V = 6 in. x 2.5 in. x 10.5 in.
V = 157.5 in.^3
So, the volume of the rectangular prism is 157.5 in.^3.
Now, to determine if the item with a height of 8 in., a length of 6 in., and a width of 2 in. will fit inside the prism, calculate the volume of the item:
V = 6 in. x 2 in. x 8 in.
V = 96 in.^3
Since the volume of the item is 96 in.^3, which is less than the volume of the prism (157.5 in.^3), the item should fit inside the prism.
Therefore, the correct answer is: 157.5 in.³ and yes, the item should fit inside the prism.
What is the volume of a rectangular prism that has a height of 10½ ½ in., a length of
6 in., and a width of 2½ 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)
3
157½ in.³ and yes, the item should fit inside the prism.
3,780
24
3
in. and no, the item will not fit inside the prism.
3
160 in.³ and yes, the item should fit inside the prism.
3
○ 15 in.³ and no, the item will not fit inside the prism.
1 answer