Chapter 12.1, Problem 29WE

To determine

To find: the volume and the surface area of solid.

Answer to Problem 29WE

The volume is $50x^3$ and the surface area is $120x^2$ .

Explanation of Solution

Given information:

A figure provided in the question,

  

Calculation: to find the volume of the solid, subtract the volume from the total volume,

  $\begin{array}{l}v=\left(4x·3x\right)\left(5x\right)-\left(x·2x\right)\left(5x\right)\\ v=60x^3-10x^3\text{ [multiply]}\\ v=50x^3\text{ [subtract]}\end{array}$

Thus, the volume of the solid is $50x^3$ .

To find the surface area, add the all area,

  $40x^2+30x^2+20x^2+10x^2+20x^2=120x^2$

Thus, the surface area is $120x^2$ .