Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Our community provides timely and precise responses to help you understand and solve any issue you face.
Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.
First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:
S = 6*(1 unit square) = 6 units square.
And the volume is equal to the side length cubed, so we have:
V = (1 unit)^3 = 1 unit cubed.
Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:
S = 4*3.14*R^2
Then we must have:
4*3.14*R^2 = 6 units square
R = √(6/(4*3.14)) units = 0.69 units.
And the volume of this sphere is:
V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.
So the sphere has the same surface and more volume.
If you want to learn more about solids, you can read:
https://brainly.com/question/10171109