The volume of a rectangular prism is 1,000, the height is 10, and the length is 20. what is the width?
To find the width of the rectangular prism, we need to divide the volume of the prism by the product of the length and the height.
Given:
Volume = 1,000
Height = 10
Length = 20
Using the formula:
Volume = Length × Width × Height
Substituting the given values:
1,000 = 20 × Width × 10
To solve for the width, we can divide both sides of the equation by 200:
1,000 ÷ 200 = (20 × Width × 10) ÷ 200
5 = Width × (10/10)
5 = Width
Therefore, the width of the rectangular prism is 5 units.
what is the area of a rectangular prism that has a volume of 50 cubic feet and a height of 4 feet?
To find the area of a rectangular prism, we need to divide the volume of the prism by its height.
Given:
Volume = 50 cubic feet
Height = 4 feet
Using the formula:
Volume = Length × Width × Height
Substituting the given values:
50 = Length × Width × 4
To solve for the length and width, we can divide both sides of the equation by 4:
50 ÷ 4 = (Length × Width × 4) ÷ 4
12.5 = Length × Width
Now, we want to find the area of the rectangular prism, which is the product of the length and width. So, we can multiply both sides of the equation by 4 to isolate the area:
12.5 × 4 = Length × Width × 4
50 = Length × Width
Therefore, the area of the rectangular prism is 50 square feet.
Sorry i tried to shorten up the question here’s the actual question.
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?
Apologies for the confusion. To find the area of the base of the right rectangular prism, we need to divide the volume by the height.
Given:
Volume = 50 cubic feet
Height = 4 feet
Using the formula for volume:
Volume = Length x Width x Height
Substituting the given values:
50 = Length x Width x 4
To solve for the length and width, we can divide both sides of the equation by 4:
50 / 4 = (Length x Width x 4) / 4
12.5 = Length x Width
Therefore, the area of the base, which is the product of the length and width, is 12.5 square feet.
Hakeem is building a box in the shape of a rectangular prism to store his toys. It has a volume of 162,000 cubic meters. what is the width of the box if the height is 40 cm and the length is 90 cm?
To find the width of the rectangular prism, we need to divide the volume of the prism by the product of the length and the height.
Given:
Volume = 162,000 cubic meters
Height = 40 cm
Length = 90 cm
Converting the height and length to meters:
Height = 40 cm = 0.4 meters
Length = 90 cm = 0.9 meters
Using the formula for volume:
Volume = Length x Width x Height
Substituting the given values:
162,000 = 0.9 x Width x 0.4
To solve for the width, we can divide both sides of the equation by 0.9 x 0.4:
162,000 / (0.9 x 0.4) = (0.9 x Width x 0.4) / (0.9 x 0.4)
162,000 / (0.36) = Width
450,000 = Width
Therefore, the width of the rectangular prism is 450,000 meters.
Hakeem is building a box in the shape of a rectangular prism to store his toys. It has a volume of 162,000 cubic meters. what is the width of the box if the height is 40 cm and the length is 90 cm?
45 cm
15 cm
158,000 cm
40 cm
To find the width of the rectangular prism, we need to divide the volume of the prism by the product of the length and the height.
Given:
Volume = 162,000 cubic meters
Height = 40 cm
Length = 90 cm
Converting the width and height into meters:
Height = 40 cm = 0.4 meters
Length = 90 cm = 0.9 meters
Using the formula for volume:
Volume = Length x Width x Height
Substituting the given values:
162,000 = 0.9 x Width x 0.4
To solve for the width, we can divide both sides of the equation by 0.9 x 0.4:
162,000 / (0.9 x 0.4) = (0.9 x Width x 0.4) / (0.9 x 0.4)
Using this equation, we can calculate the width as follows:
Width = 162,000 / (0.9 x 0.4)
Width = 450,000 / 0.36
Width ≈ 1,250,000
As a result, the width of the rectangular prism would be approximately 1,250,000 meters.