Question

Which has the greater surface area, a sphere with diameter 3cm or a cube with side length 3cm

Answer 1

Out of the surface area of the cube and the surface area of the sphere, the surface area of the cube greater than the sphere.

According to the statement

We have to compare the surface area.

So, For this purpose, we know that the

Surface area is the amount of space covering the outside of a three-dimensional shape.

From the given information:

sphere with diameter 3cm or a cube with side length 3cm

Then

If S is the side of a cube, then its surface area is $6s^2$

And

If R is the radius of the sphere, then it's surface area is $4\pi R^{2}$

Then

surface area of cube = $6s^2$

surface area of cube = $6(3)^2$

surface area of cube = 6*9

surface area of cube = 54 cm per square

And then

surface area of Sphere = $4\pi R^{2}$

surface area of Sphere = $4*3.14* (1.5)^{2}$

surface area of Sphere = 12.56 * 2.25

surface area of Sphere = 28.26 cm per square.

So, Out of the surface area of the cube and the surface area of the sphere, the surface area of the cube greater than the sphere.

Learn more about Surface area here

brainly.com/question/6613758

#SPJ1