Question

expressions as volume

1. write an expression to represent the volume of the figure.

Explanation:

Step1: Find volume of part A

The dimensions of part A are length = 4 feet, width = 2 feet, height = 8 feet. The volume formula for a rectangular - prism is $V = l\times w\times h$. So the volume of part A, $V_A=4\times2\times8 = 64$ cubic feet.

Step2: Find volume of part B

The dimensions of part B: The length of part B is $6 - 4=2$ feet, width = 2 feet, height = 3 feet. Using the volume formula $V = l\times w\times h$, the volume of part B, $V_B=(6 - 4)\times2\times3= 12$ cubic feet.

Step3: Find total volume

The total volume of the figure $V = V_A+V_B$. So $V=64 + 12=76$ cubic feet. The expression to represent the volume is $4\times2\times8+(6 - 4)\times2\times3$.

Answer:

$4\times2\times8+(6 - 4)\times2\times3$