Question

what is the volume of this prism?
5 cm
10 cm
5 cm
cubic centimeters

Explanation:

Step1: Identify the formula for the volume of a rectangular prism

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Substitute the given values into the formula

From the diagram, the length \( l = 10 \) cm, the width \( w = 5 \) cm, and the height \( h = 5 \) cm. Substituting these values into the formula, we get:
\[
V = 10 \times 5 \times 5
\]

Step3: Calculate the volume

First, multiply \( 10 \) and \( 5 \): \( 10 \times 5 = 50 \). Then, multiply the result by \( 5 \): \( 50 \times 5 = 250 \).

Answer:

250