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) Responses 25 square units 25 square units 200 square units 200 square units 100 square units 100 square units 75 square units
The formula for the volume of a right rectangular prism is given by V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given that the volume is 50 cubic units and the height is 2. So we can substitute these values into the formula to find the area of the base.
50 = lw(2)
50/2 = lw
25 = lw
Since we want to find the area, we're looking for the product of the length and width, or lw. Therefore, the area of the base is 25 square units.
So the correct response 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) Responses 5 5 15 15 200,000 200,000 50
The formula for the volume of a right rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given that the volume is 1,000 cubic units, the height is 10, and the length is 20. So we can substitute these values into the formula to find the width.
1,000 = 20w(10)
1,000 = 200w
w = 1,000/200
w = 5
So the width of the right rectangular prism is 5 units.
Therefore, the correct response is: 5
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) Responses 12.5 ft.2 12.5 feet squared 37.5 ft.2 37.5 feet squared 200 ft.2 200 feet squared 6.25 ft.2
The formula for the volume of a right rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given that the volume is 50 cubic feet and the height is 4 feet. So we can substitute these values into the formula to find the area of the base.
50 = lw(4)
50/4 = lw
12.5 = lw
Since we want to find the area, we're looking for the product of the length and width, or lw. Therefore, the area of the base is 12.5 square feet.
So the correct response is: 12.5 feet squared
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) Responses 45 cm 45 cm 15 cm 15 cm 40 cm 40 cm 158,400 cm
The formula for the volume of a right rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given that the volume is 162,000 cubic centimeters, the height is 40 cm, and the length is 90 cm. So we can substitute these values into the formula to find the width.
162,000 = 90w(40)
162,000 = 3600w
w = 162,000/3600
w = 45
So the width of the right rectangular prism is 45 cm.
Therefore, the correct response is: 45 cm
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) Responses 112.5 ft.3 112.5 feet cubed 15.5 ft.3 15.5 feet cubed 37.5 ft.3 37.5 feet cubed 1,125 ft.3
The formula for the volume of a right rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given that the length is 7.5 feet, the width is 5 feet, and the height is 3 feet. So we can substitute these values into the formula to find the volume of the container.
V = (7.5)(5)(3)
V = 37.5
So the volume of the container is 37.5 cubic feet.
Therefore, the correct response is: 37.5 feet cubed