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? (1 point)
• 75 square units
O 25 square units
• 100 square units
• 200 square units
The formula for the volume of a right rectangular prism is given by:
Volume = length * width * height
In this case, we are given the volume as 50 cubic units and the height as 2 units. Therefore, we can write the equation as:
50 = length * width * 2
To find the area of the base, we need to solve for either the length or width. Let's solve for length:
length = 50 / (width * 2)
Now, we can substitute this value of length back into the formula for area to find the area of the base:
Area = length * width
Area = (50 / (width * 2)) * width
Area = 50 * width / 2
Area = 25 * width
Therefore, the area of the base is 25 square units.
The volume of a right rectangular prism is 1,000, the height is 10, and the length is 20. What is the width? (1 point)
5
• 200,000
O 15
• 50
The formula for the volume of a right rectangular prism is given by:
Volume = length * width * height
In this case, we are given the volume as 1,000 cubic units, the height as 10 units, and the length as 20 units. Therefore, we can write the equation as:
1,000 = 20 * width * 10
To find the width, we need to isolate it on one side of the equation. Dividing both sides of the equation by 200 will give us:
1,000 / 200 = width * 10
5 = width * 10
Dividing both sides of the equation by 10 will give us:
5 / 10 = width
width = 0.5
Therefore, the width of the right rectangular prism is 0.5 units.
Monica is constructing a box in the shape of a right rectangular prism to hold grain on her farm.
Use the formula for the volume of a rectangular prism to find the area of the base when the volume is 50 cubic feet and the height is 4 feet. (1 point)
• 200 ft.2
• 12.5 ft.?
• 37.5 ft.?
• 6.25 ft.?
The formula for the volume of a right rectangular prism is given by:
Volume = length * width * height
In this case, we are given the volume as 50 cubic feet and the height as 4 feet. Therefore, we can write the equation as:
50 = length * width * 4
To find the area of the base, we need to solve for either the length or width. Let's solve for length:
length = 50 / (width * 4)
Now, we can substitute this value of length back into the formula for area to find the area of the base:
Area = length * width
Area = (50 / (width * 4)) * width
Area = 50 * width / 4
Area = 12.5 * width
Therefore, the area of the base is 12.5 square feet.
Hakeem is building a box in the shape of a right rectangular prism to store his toys. It has a volume of 162,000 cubic centimeters. What is the width of the box if the height is 40 cm and the length is 90 cm? (1 point)
• 15 cm
• 158,400 ст •
• 40 cm
• 45 cm
The formula for the volume of a right rectangular prism is given by:
Volume = length * width * height
In this case, we are given the volume as 162,000 cubic centimeters, the height as 40 centimeters, and the length as 90 centimeters. Therefore, we can write the equation as:
162,000 = 90 * width * 40
To find the width, we need to isolate it on one side of the equation. Dividing both sides of the equation by 90 * 40 will give us:
162,000 / (90 * 40) = width
Simplifying the expression on the left side of the equation gives us:
162,000 / 3,600 = width
45 = width
Therefore, the width of the right rectangular prism is 45 centimeters.
Keysha needs to fill a container with cement. The container is in the shape of a right rectangular prism. The container has a length of 7.5 feet, a width of 5 feet, and a height of 3 feet. What is the volume of the container? (1 point)
• 37.5 ft.3
• 1, 125 ft.3
O 15.5 ft.3
O 112.5ft.3
The formula for the volume of a right rectangular prism is given by:
Volume = length * width * height
In this case, we are given the length as 7.5 feet, the width as 5 feet, and the height as 3 feet. Therefore, we can substitute these values into the formula:
Volume = 7.5 * 5 * 3
Volume = 112.5 cubic feet
Therefore, the volume of the container is 112.5 cubic feet.