Q. 1 - Calculus

Question

Volume and Surface Area Formulas: Write a formula for (a) the volume and (b) the surface area of each solid described below.

A rectangular box of width w, length l, and height h 

Step-by-Step Solution

Answer

(a) Volume of the rectangular box is,$V=l\times w\times h$

(b) Surface are of the rectangular box is,$S=2\times l\times w+2\times w\times h+2\times l\times h$

Part (a) step 1. Given information

We have to find the volume and surface area of the given figure.

For that, we have been given a rectangular box of width w, length l, and height h 

Part (a) step 2. The volume of the rectangular box

The volume of the rectangular box is the product of its length, width, and height.

That is, the volume of the rectangular box is $V=l\times w\times h$

Part (b) step 3. The surface area of the rectangular box

The formula to find the surface area of the rectangular box is,$S=2\times l\times w+2\times w\times h+2\times l\times h$