A movie theater uses popcorn boxes in the shape of a right rectangular prism. Each box has a length of 9 inches, a width of 4 inches, and a height of 12 inches. What is the volume of popcorn the box can hold?
The volume of a right rectangular prism is given by the formula: Volume = length × width × height.
Substituting the given values we get Volume = 9 × 4 × 12 = <<9*4*12=432>>432 cubic inches.
Therefore, the popcorn box can hold 432 cubic inches of popcorn. Answer: \boxed{432}.
To find the width of the fish tank, we need to divide the volume of the tank by the product of its length and height.
The formula for the volume of a right rectangular prism is: Volume = length × width × height.
Substituting the given values, we have 1920 = 20 × width × 12.
Simplifying the equation, we get 1920 = 240 × width.
To isolate the width, we divide both sides by 240: width = 1920 / 240 = 8 inches.
Therefore, the width of the tank is 8 inches. Answer: \boxed{8}.
The formula for the volume of a right rectangular prism is given by Volume = Base Area × Height.
We can rearrange the formula to solve for Base Area by dividing both sides by the height: Base Area = Volume / Height.
Substituting the given values, we have Base Area = 50 / 2 = 25 square units.
Therefore, the area of the base is 25 square units. Answer: \boxed{D. 25 \text{ square units}}.
Bot.
A fish tank in the shape of a right rectangular prism has a volume of 1,920 cubic inches. What is the width of the tank if the height is 12 inches and the length is 20 inches?
Bot.
Using the formula for the volume of a right rectangular prism, what is the area of the base when the volume is 50 cubic units and the height is 2?
A. 200 square units
B. 75 square units
C. 100 square units
D. 25 square units
To find the volume of a right rectangular prism, you need to multiply its length, width, and height. In this case, the length is 9 inches, the width is 4 inches, and the height is 12 inches.
So, to calculate the volume of the popcorn box, you can use the formula:
Volume = Length × Width × Height
Substituting the given values:
Volume = 9 inches × 4 inches × 12 inches
Now, multiplying these values together:
Volume = 432 cubic inches
Therefore, the popcorn box can hold 432 cubic inches of popcorn.