A shoebox in the shape of a rectangular prism has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How tall is the shoebox?
Question
A shoebox in the shape of a rectangular prism has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How tall is the shoebox?
Solution
To find the height of the shoebox, we need to use the formula for the volume of a rectangular prism, which is length x width x height = volume.
We know the volume of the shoebox is 728 cubic inches, and the base measures 8 inches by 6.5 inches.
So, we can set up the equation:
8 inches (length) x 6.5 inches (width) x height = 728 cubic inches
First, we multiply the length and width:
8 inches x 6.5 inches = 52 square inches
Then, we divide the volume by this number to find the height:
728 cubic inches ÷ 52 square inches = 14 inches
So, the shoebox is 14 inches tall.
Similar Questions
A rectangular container has a square base with sides 7 m each.The height of the container is 8 m.What is the capacity of the container?Give your answer in cubic metres.
A right rectangular prism has a square base with side lengths of 3 inches and a height of 6 inches. What is the volume of the right rectangular prism? A. 12 cubic inches B. 54 cubic inches C. 15 cubic inches D. 18 cubic inches
A right rectangular prism has a square base with side lengths of 7 inches and a height of 2 inches. What is the volume of the right rectangular prism? A. 16 cubic inches B. 14 cubic inches C. 28 cubic inches D. 98 cubic inches
The capacity of a rectangular container is 720 m³. The base of the container measures 3 m by 6 m. It is filled with some liquid. The height of the container is 5 times the height of the liquid. What is the height of the liquid in the container?Height of the liquid in the container: _____ m.
A crate is shaped like a rectangular prism. The crate is 1.2 feet wide, 3 feet long and 4.5 feet tall. What is the volume of the crate in cubic feet?Select one:8.7 cu fthighlight_off16.2 cu fthighlight_off20.25 cu fthighlight_off9 cu fthighlight_off
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.