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. 25 square units
D. 100 square units
The formula for the volume of a right rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the volume is 50 cubic units and the height is 2, we can substitute these values into the formula to find the area of the base.
50 = lw(2)
Dividing both sides of the equation by 2 gives:
25 = lw
Now, we know that the area of the base is given by A = lw.
Substituting the value of 25 for lw gives:
A = 25
Therefore, the area of the base is 25 square units.
Answer: C. 25 square units
The formula for the volume of a right rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the volume is 1,000, the height is 10, and the length is 20, we can substitute these values into the formula to find the width.
1,000 = 20w(10)
Dividing both sides of the equation by 200 gives:
5 = w(10)
Now, we know that the width is given by w = 5.
Answer: A. 5
The formula for the volume of a right rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the volume is 50 cubic feet and the height is 4 feet, we can substitute these values into the formula to find the area of the base.
50 = lw(4)
Dividing both sides of the equation by 4 gives:
12.5 = lw
Now, we know that the area of the base is given by A = lw.
Substituting the value of 12.5 for lw gives:
A = 12.5
Therefore, the area of the base is 12.5 square feet.
Answer: D. 12.5 ft.^2
The formula for the volume of a right rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the volume is 162,000 cubic centimeters, the height is 40 cm, and the length is 90 cm, we can substitute these values into the formula to find the width.
162,000 = 90w(40)
Dividing both sides of the equation by (90)(40) gives:
w = 162,000 / (90)(40)
w = 162,000 / 3600
w = 45
Therefore, the width of the box is 45 cm.
Answer: C. 45 cm
The volume of a right rectangular prism is 1,000, the height ia 10, and the length is 20. What is the width?
A. 5
B. 15
C. 50
D. 200,000
Monica is constructing a box in the shape 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.
A. 6.25 ft.^2
B. 200 ft.^2
C. 37.5 ft.^2
D. 12.5 ft.^2
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?
A. 40 cm
B. 158,400 cm
C. 45 cm
D. 15 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 volume of the container?
A. 1,125 ft.^3
B. 37.5 ft.^3
C. 112.5 ft.^3
D. 15.5 ft.^3
alright, thanks. I got 4/5.
The volume of a right rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the length is 7.5 feet, the width is 5 feet, and the height is 3 feet, we can substitute these values into the formula to find the volume.
V = (7.5 ft)(5 ft)(3 ft)
V = 37.5 ft^3
Therefore, the volume of the container is 37.5 cubic feet.
Answer: B. 37.5 ft^3