The cuboid is made up of two cuboids whose edges are 10 cm long______ And the surface area is______ .

The cuboid is made up of two cuboids whose edges are 10 cm long______ And the surface area is______ .


10 × 10 × 10 × 2 = 2000 (cubic centimeter), 10 × 10 × 10 = 1000 (square centimeter). A: its volume is 2000 cubic centimeter, and its surface area is 1000 square centimeter



In the center of six sides of a cube with an edge length of 10 cm, dig out a middle cube with an edge length of 2 cm, and calculate the remaining surface area and volume
How many?


The surface area increases and the volume decreases. The original cube: Volume V0 = 10 * 10 * 10 = 1000 surface area S0 = 10 * 10 * 6 = 600 small cube: Volume V = 2 * 2 * 2 = 8 area of each face s = 2 * 2 = 4 the remaining surface area s = S0 + s * 4 *



What is the volume of a cube with 10 cm edge length and 1 cm edge length, and whether the surface area increases or decreases?


Volume: 10 * 10 * 10-1 = 999 CC
The surface area remains unchanged



If the ratio of edge to length is 3:2, the ratio of surface area is (), and the ratio of volume is ()
A. 3:5B. 9:4C. 4:9D. 27:8


Because the edge length ratio of the two cubes is 3:2; the surface area ratio of the two cubes is 32:22 = 9:4; the volume ratio of the two cubes is 33:23 = 27:8



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


The edge length ratio of the two cubes is 3:2; the surface area ratio of the two cubes is (9): (4); the volume ratio of the two cubes is (27): (8)



The edge length ratio of the two cubes is 3:2, the surface area ratio of the two cubes is - and the volume ratio of the two cubes is——


The edge length ratio of the two cubes is 3:2, the surface area ratio of the two cubes is 9:4, and the volume ratio of the two cubes is 27:8



If there is a ball in a cube with edge length a and it is tangent to all 12 edges of the cube, then the volume of the ball is


It's impossible
It can't be tangent to all 12 edges



If there is a ball in a cube with edge length 2 and the ball is tangent to six sides of the cube, the volume of the ball is


The volume of the sphere v = 4 / 3 π R ^ 3
∵ the ball is tangent to the six faces of the cube
Ψ r = 1 / 2 × edge length = 1 / 2 × 2 = 1
∴V=4/3πr^3=4/3π×1=4/3π



If the volume of a cube is V, then the volume of the cube is v


Let the radius of the sphere be r and the volume be V, that is, 4 / 3 * π R & sup3; = V, then R & sup3; = 3V / (4 π). Let the edge length of the cube be a, then the diagonal is √ 3a, because the diagonal of the cube is the diameter of the sphere, that is, √ 3A = 2R, then (√ 3a) & sup3; = (2R) & sup3;, so a & sup3; = 8R & sup3; / (3 √ 3), Cube



The ratio of the surface area of the ball to that of its circumscribed cube is. A, 6 / B, 2 / C, 3 / d


4 π R ^ 2 / 6 * (2R) ^ 2 = π / 6