Mr. suarez orders a cube of clay for his art classes. the height of the cube is 12 inches. write and simplify an exponential expression to find how much clay mr suarez ordered

A cube is a three-dimensional object that is bounded by six square faces, with  three meeting at each vertex. Because the faces of the cube are squares, each side of each face measures the same as the other ones. Therefore, in order to get the volume of a cube (the amount of space the cube occupies) we need to multiply:

height*length*width

In this example, the height of the cube is 12 inches. Therefore:

12*12*12 or 12^3 = 1728 cubic inches or 1 cubic feet

yes

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.