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.
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.
To find the volume of a rectangular prism, you multiply the height, length, and width together. In this case, the height is 1012 in., the length is 623 in., and the width is 214 in.
So, the volume is: 1012 in. * 623 in. * 214 in. = 140,383,812 in.^3
Now, let's compare this volume to the item. The item has a height of 8 in., a length of 6 in., and a width of 2 in.
The volume of the item is: 8 in. * 6 in. * 2 in. = 96 in.^3
Since the volume of the prism is 140,383,812 in.^3 and the volume of the item is 96 in.^3, the item should fit inside the prism.
To find the volume of a rectangular prism, you need to multiply its length, width, and height together.
In this case, the height of the prism is given as 1012 in., the length is 623 in., and the width is 214 in.
To calculate the volume, you would use the formula:
Volume = Length x Width x Height
Substituting the given values:
Volume = 623 in. x 214 in. x 1012 in.
Calculating this multiplication will give you the answer for the volume of the prism.
Once you have the volume of the prism, you can compare it to the volume of the item to see if it will fit. The volume of the item is given as a height of 8 in., a length of 6 in., and a width of 2 in.
To calculate the volume of the item, you would use the same formula:
Volume = Length x Width x Height
Substituting the given values:
Volume = 6 in. x 2 in. x 8 in.
Calculating this multiplication will give you the answer for the volume of the item.
When comparing the volumes, if the volume of the item is less than or equal to the volume of the prism, it means the item should fit inside the prism. If the volume of the item is greater than the volume of the prism, it means the item will not fit inside the prism.