Question

A carpenter is making a wooden dressing table which has a volume of 16500 cm³. The base of the dressing table has an area of 78 sq.cm. How high is the dressing table?

Answer 1

The height of the wooden dressing table with a volume of 16500 cm³ and a base area of 78 cm² is 211.54 cm.

Step-by-step explanation:

To find the height of a wooden dressing table given the volume and the area of the base, we can use the formula for the volume of a rectangular prism (table), which is Volume = Base Area × Height. Here, the volume is 16500 cm³, and the base area is 78 cm².

The formula for height (h) can be derived from the volume formula:

V = Base Area × h

Hence,
h = V / Base Area

Insert the provided values into the formula to find the height:

h = 16500 cm³ / 78 cm² = 211.54 cm

So, the height of the dressing table is 211.54 cm.