Question

what is the volume of the rectangular prism? image of a rectangular prism with length 7 cm, width 2 cm, height 4 cm blank box $\mathrm{cm}^3$

Explanation:

Step1: Recall 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: Identify the length, width, and height from the diagram

From the diagram, the length \( l = 7 \) cm, the width \( w = 2 \) cm, and the height \( h = 4 \) cm.

Step3: Substitute the values into the formula

Substitute \( l = 7 \), \( w = 2 \), and \( h = 4 \) into the formula: \( V = 7 \times 2 \times 4 \).

Step4: Calculate the product

First, multiply \( 7 \times 2 = 14 \). Then, multiply \( 14 \times 4 = 56 \).

Answer:

56