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)
The volume of a right rectangular prism is given by 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 volume is given as 1,000, the height is given as 10, and the length is given as 20.
Plugging these values into the formula, we can solve for the width:
1,000 = 20w(10)
1,000 = 200w
Dividing both sides of the equation by 200, we get:
5 = w
Therefore, the width is 5 units.
i dont get it can you explain
Of course! Let's break it down step by step.
First, let's use the formula for the volume of a right rectangular prism: V = lwh.
We're given the following information:
- Volume (V) = 1,000
- Height (h) = 10
- Length (l) = 20
We want to find the width (w).
To solve for the width, we need to rearrange the formula:
V = lwh --> w = V / (lh)
Now, let's substitute the given values into the formula:
w = 1,000 / (20 * 10)
Multiplying 20 and 10 gives us:
w = 1,000 / 200
Dividing 1,000 by 200 gives us:
w = 5
Therefore, the width of the right rectangular 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)
To find the area of the base of the right rectangular prism, we need to use the formula for the volume of a rectangular prism and rearrange it to solve for the area of the base.
The formula for the volume of a 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 given as 4 feet.
Using the formula, we can rearrange it to solve for the area of the base:
V = lwh --> lwh = V --> lw = V / h
Now, let's substitute the given values into the formula:
lw = 50 / 4
Dividing 50 by 4 gives us:
lw = 12.5
Therefore, the area of the base of the right rectangular prism is 12.5 square feet.
i dont get it can you elaborate
Sure! Let's go through it step by step.
We need to find the area of the base of the right rectangular prism. The formula for the volume of a 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 given as 4 feet.
To find the area of the base, we need to rearrange the formula:
V = lwh
Rearranging the formula to solve for the area of the base gives us:
lw = V / h
Now, let's substitute the given values into the formula:
lw = 50 / 4
When we divide 50 by 4, we get:
lw = 12.5
Therefore, the area of the base of the right rectangular prism 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)
To find the width of the box, we'll use the formula for the volume of a rectangular prism:
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.
We need to rearrange the formula to solve for the width.
V = lwh
w = V / (lh)
Now, we can substitute the given values into the formula:
w = 162,000 / (90 * 40)
When we multiply 90 and 40 together, we get:
w = 162,000 / 3600
Evaluating 162,000 divided by 3600 gives us:
w ≈ 45
Therefore, the width of the box is approximately 45 cm.