2 of 72 of 7 Items Question A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism and explain how you found it.
To find the length of the rectangular prism, we can use the formula for volume of a rectangular prism, which is length x width x height.
Given that the volume of the prism is 840 cubic inches, the height is 6 inches, and the width is 10 inches, we can substitute these values into the formula:
840 = length x 10 x 6
Dividing both sides by 60:
14 = length
Therefore, the length of the rectangular prism is 14 inches.
make it smaller
To find the length of the rectangular prism when its volume is 840 cubic inches, height is 6 inches, and width is 10 inches, we should divide the volume by the product of the height and the width.
Length = Volume / (Height x Width)
Length = 840 / (6 x 10)
Length = 840 / 60
Length = 14
Therefore, the length of the rectangular prism is 14 inches.
smaller
To find the length of the rectangular prism when its volume is 840 cubic inches, height is 6 inches, and width is 10 inches, we can divide the volume by the area of the base of the prism (height x width). This will give us the length.
Length = Volume / (Height x Width)
Length = 840 / (6 x 10)
Length = 840 / 60
Length = 14
Therefore, the length of the rectangular prism is 14 inches.