Volume of Right Rectangular Prisms Quick Check

2 of 52 of 5 Items
Question
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

50
50

15
15

5
5

1 answer

To find the width of a right rectangular prism, you can use the formula for the volume of a prism:

\[ V = \text{length} \times \text{width} \times \text{height} \]

Here, you have:

  • Volume \( V = 1000 \)
  • Length \( = 20 \)
  • Height \( = 10 \)

We need to find the width. Plugging in the values:

\[ 1000 = 20 \times \text{width} \times 10 \]

First, calculate \( 20 \times 10 \):

\[ 20 \times 10 = 200 \]

Now, substituting back into the equation:

\[ 1000 = 200 \times \text{width} \]

To find the width, divide both sides by 200:

\[ \text{width} = \frac{1000}{200} = 5 \]

Thus, the width is 5.

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