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
200 square units
200 square units
75 square units
75 square units
25 square units
25 square units
100 square units
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, the volume is given as 50 cubic units and the height is 2. So, we can write the equation as:
50 = lw(2)
To find the area of the base, we need to solve for lw. Rearranging the equation, we have:
lw = 50/2
lw = 25
So, 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)
Responses
5
5
50
50
200,000
200,000
15
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, the volume is given as 1,000, the height is 10, and the length is 20. So, we can write the equation as:
1,000 = 20w(10)
Simplifying, we have:
1,000 = 200w
To solve for w, we divide both sides of the equation by 200:
w = 1,000/200
w = 5
So, the width of the prism is 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)
Responses
6.25 ft.2
6.25 feet squared
37.5 ft.2
37.5 feet squared
200 ft.2
200 feet squared
12.5 ft.2
12.5 feet squared
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, the volume is given as 50 cubic feet and the height is 4 feet. So, we can write the equation as:
50 = lw(4)
To find the area of the base, we need to solve for lw. Rearranging the equation, we have:
lw = 50/4
lw = 12.5
So, the area of the base is 12.5 square feet.
Question
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
40 cm
40 cm
158,400 cm
158,400 cm
15 cm
15 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, the volume is given as 162,000 cubic centimeters, the height is 40 cm, and the length is 90 cm. So, we can write the equation as:
162,000 = 90w(40)
To solve for w, we divide both sides of the equation by 90(40):
w = 162,000 / (90 * 40)
w = 45
Therefore, the width of the box 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 volume of a right rectangular prism can be calculated using the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, the length is 7.5 feet, the width is 5 feet, and the height is 3 feet. Plugging these values into the formula, we have:
V = 7.5 * 5 * 3
V = 112.5
Therefore, the volume of the container is 112.5 cubic feet.