If the edges of a sphere and a cube with edge length a are tangent, what is the surface area of the sphere Steps to take

If the edges of a sphere and a cube with edge length a are tangent, what is the surface area of the sphere Steps to take

The radius of the ball is the distance from the center of the cube to an edge
So, the radius r = the root of two a
So the surface area of the ball is: S = 4 π R ^ 2 = π a ^ 2

The ratio of the surface area of a sphere tangent to each surface of a cube to that of a cube is______

Let the radius of the ball be r, then the surface area of the ball is 4 π R2, the surface area of the cube is 6 × (2R) 2 = 24r2, so the ratio of the surface area of the ball to the surface area of the cube is: π 6, so the answer is: π 6

The ratio of the surface area of a sphere tangent to each surface of a cube to that of a cube is______

Let the radius of the ball be r, then the surface area of the ball is 4 π R2, the surface area of the cube is 6 × (2R) 2 = 24r2, so the ratio of the surface area of the ball to the surface area of the cube is: π 6, so the answer is: π 6

If a sphere is tangent to all sides of a cube and the side length of the cube is a, then the surface area of the sphere is______ ．

The radius of the inscribed sphere of the cube with edge length a is r = A2, the surface area is 4 π R2 = π A2

The edge length of a cube is two fifths of a meter. What's its surface area? What's its volume
The edge length of a cube is 2 / 5 meters. What is its surface area and volume?
Thank you!

Surface area = 2 / 5 × 2 / 5 × 6 = 24 / 25
Volume = 2 / 5 × 2 / 5 = 8 / 125

The edge length ratio of the two cubes is 3:2, the surface area ratio of the two squares is (), and the volume ratio of the two cubes is ()

3*3:2*2=9:4
3*3*3:2*2*2=27:8

A cube with an edge length of 5 cm has a larger surface area than a larger volume______ (judge right or wrong)

The surface area and volume of cube have different meanings, different calculation methods and different units of measurement

The ratio of edge length of large square to small square is 1:2. What is the ratio of surface area to volume of small square

The area ratio is the square of the similarity ratio, and the volume ratio is the cube of the similarity ratio
So: the surface area of small cube: the surface area of large cube = 1:4
Volume of small cube: volume of large cube = 1:8

Dig out a cube with 10 cm edge length at a top corner. Wow, what's the volume after digging? Does the surface area increase or decrease?

Volume = 10x10x10-1x1x1 = 999 CC
The surface area is the same as before = 10x10x6 = 600 square centimeters

A cube with an edge length of 10cm is cut into two identical cuboids. The volume of a cuboid is______ And the surface area is______ ．

(1) A cuboid has a volume of 500 cubic centimeters and a surface area of 400 square centimeters. So the answer is: 500 cubic centimeters, 400 square centimeters