1. Start off with the formula for the volume of a cube. V =s3 V = s 3. And we know that the sides are increasing at a rate of st = 2 s t = 2. Furthermore, the question gives us the fact that the area of the base is ten inches squared. Therefore s = 10−−√ s = 10. Differentiate the first equation with respect to t t to get. The volume of the cube is calculated by cubing the side length: = 27 . For the 5 cm cube: The surface area can be calculated in the same manner. Each face has an area of (5 cm × 5 cm) = 25 . The total surface area is 6 × 25 = 150 . The volume of the cube is = 125 . Comparing the two cubes: The surface area to volume ratio of the 3 cm cube is A volume that is made by a cube that is 1 centimeter on each side. Its symbol is cm 3 It can also be abbreviated as cc It is equal to 1 ml (a milliliter, which is one-thousandth of a liter) 1 cubic centimeter = 1 cm 3 = 1 cc = 1 ml = 0.001 of a liter. Therefore, by the surface area and volume formula of the cube, we can write; Surface Area = 6a 2 = 6 × 10 2 = 6 × 100. = 600 cm 2. Volume = a 3 = 10 3 = 1000 cm 3. Example 2: Find the side length of a cube whose volume is 512 cm 3. Solution: Given: Volume of cube, v = 512 cm 2. We know that the formula for the volume of a cube is a 3 cubic Transcript. Ex 6.1, 2 The volume of a cube is increasing at the rate of 8 cm3/s. How fast is the surface area increasing when the length of an edge is 12 cm?Let 𝒙 be length of side V be Volume t be time per second We know that Volume of cube = (Side)3 V = 𝒙𝟑 Given that Volume of cube is increasing at rate of 8 cm3/sec. It is identified by the unique property that each side of the cube is of the same length. Some everyday examples of objects in the shape of a cube are dice, Rubik's cubes, sugar cubes, gift boxes, etc. The volume of a cube is calculated using the length of its side. Volume of a Cube = a3, where a is the length of each side of the cube. 9sEol4.

volume of 3cm cube