There are 7.48 gallons in cubic foot. Set up a ratio:

1 ft³/ 7.48 gallons = x cubic feet / 10,000 gallons

Pool Volume = 10,000 gallons = 10,000 gallons * (1 ft³/ 7.48 gallons) = 1336.9 ft³

Pool Volume = 4ft x 10 ft x WIDTH = 1336.9 cubic feet

Solve for WIDTH:

4 ft x 10 ft x WIDTH = 1336.9 cubic feet

WIDTH = 1336.9 / (4 x 10) = 33.4 ft

The cube has a volume of 64cm³, making the length of one edge 4cm (4 * 4 * 4 = 64).

So the area of one side is 4 * 4 = 16cm²

The standard equation for surface area is

wheredenotes side length. Rearrange the equation in terms ofto find the length of a side with the given surface area:

The formula for the volume of a cube is

,

whereis the length of the edge of a cube.

Plugging in our values, we get:

The formula for the volume of a cube is

,

whereis the length of the edge of a cube.

Plugging in our values, we get:

The surface area of a cube can be determined using the following equation:

Find the diagonal of one face of the cube using the Pythagorean Theorem applied to a triangle formed by two sides of that face (and) and the diagonal itself ():

This diagonal is now the base of a new right triangle (call this). The height of that triangle is an edge of the cube that runs perpendicular to this diagonal (call this). The third side of the triangle formed byandis a line from one corner of the cube to the other, i.e., the cube's diagonal (call this). Use the Pythagorean Theorem again with the triangle formed by,, andto find the length of this diagonal.

To find the length of the diagonal, use the formula for atriangle:

The length of the diagonal is.

To find the surface area of a cube we must count the number of surface faces and add the areas of each of them together.

In a cube there are 6 faces, each a square with the same side lengths.

In this example the side lengths is 15 so the area of each square would be

We then multiply this number by 6, the number of faces of the cube, to get

Our answer for the surface area is.

To find the surface area of a cube, we must count the number of surface faces and add the areas of each together. In a cube there arefaces, each a square with the same side lengths. In this example the side length is.

The area of a square is given by the equation. Using our side length, we can solve the area of once face of the cube.

We then multiply this number by立方体的,面临着找到完全的l surface area.

Our answer for the surface area is.