What is the volume, in cubic centimeters, of a rectangular prism with a height of 15 centimeters, a width of 18 centimeters, and a length of 9 centimeters?

Question

Answer
Attempt 1 out of 2

V, equalsV=
centimeters, cubed centimeters
3

Answer 1

To find the volume \( V \) of a rectangular prism, you can use the formula:

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

Given the dimensions:

• Length = 9 cm
• Width = 18 cm
• Height = 15 cm

Now, substitute these values into the formula:

\[ V = 9 , \text{cm} \times 18 , \text{cm} \times 15 , \text{cm} \]

First, calculate \( 9 \times 18 \):

\[ 9 \times 18 = 162 , \text{cm}^2 \]

Next, multiply by the height:

\[ 162 , \text{cm}^2 \times 15 , \text{cm} = 2430 , \text{cm}^3 \]

Thus, the volume of the rectangular prism is:

\[ \boxed{2430 , \text{cm}^3} \]