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

200,000
200,000

15
15

50
50

5

7 answers

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

In this case, the volume is given as 1,000, the height is 10, and the length is 20.

To find the width, we can rearrange the formula:

Volume = Length × Width × Height

1,000 = 20 × Width × 10

Dividing both sides by (20 × 10):

1,000 / (20 × 10) = Width

50 = Width

Therefore, the width of the right rectangular prism is 50.
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.
Responses

200 ft.2
200 feet squared

37.5 ft.2
37.5 feet squared

6.25 ft.2
6.25 feet squared

12.5 ft.2
The volume of a rectangular prism is given by the formula V = length × width × height.

In this case, the volume is given as 50 cubic feet, and the height is 4 feet.

To find the area of the base, we need to solve for the other two dimensions, length and width.

Let's assume the length is L and the width is W.

Then, we have the equation V = L × W × H.

Plugging in the given values, we get 50 = L × W × 4.

To find the area of the base, we need to find L and W.

Divide both sides of the equation by 4:

50/4 = L × W.

Simplify:

12.5 = L × W.

Therefore, the area of the base (L × W) 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)
Responses

15 cm
15 cm

40 cm
40 cm

45 cm
45 cm

158,400 cm
The volume of a rectangular prism is given by the formula V = length × width × height.

In this case, the volume is given as 162,000 cubic centimeters, the height is 40 cm, and the length is 90 cm.

To find the width, we can rearrange the formula:

V = L × W × H

162,000 = 90 × W × 40

Dividing both sides by (90 × 40):

162,000 / (90 × 40) = W

450 = W

Therefore, the width of the right rectangular prism is 450 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

15.5 ft.3
15.5 feet cubed

1,125 ft.3
1,125 feet cubed

37.5 ft.3
37.5 feet cubed

112.5 ft.3
The volume of a rectangular prism is given by the formula V = length × width × height.

In this case, the length is 7.5 feet, the width is 5 feet, and the height is 3 feet.

To find the volume, we can plug these values into the formula:

V = 7.5 × 5 × 3

V = 37.5 × 3

V = 112.5

Therefore, the volume of the container is 112.5 cubic feet.