Question

The length of a rectangle solid is 10. the width, w and the height, h follow the relationship, and w^3h^3= 27. what is the volume of the rectangular solid?

Answer 1

To find the volume of the rectangular solid, you can multiply the length, width, and height together. Given that the length is 10 units and the relationship between the width and height is w^3 * h^3 = 27, we can solve for the dimensions and calculate the volume to be 90 units^3.

Step-by-step explanation:

To find the volume of the rectangular solid, we need to multiply the length, width, and height together. We are given that the length is 10 units. We also know that the relationship between the width and height is given by the equation w^3 * h^3 = 27. To solve for w and h, we can take the cube root of both sides of the equation:

w^3 * h^3 = 27

w * h = 3

Substituting the values for the dimensions, we have:

Volume = length * width * height = 10 * 3 * 3 = 90 units^3.