A rectangular prism has the following dimensions.
length: 8 cm
width: 13 cm
height: 10.5 cm
If all the dimensions of the prism are doubled, what will be its new surface area?
1,298 cm2
4,192 cm2
2,596 cm2
4,368 cm2
this was not help at all make your web site better
4 (2*8*13 + 2*8*10.5 + 2*13*10.5)= 2,596
so dumb
To find the new surface area of the prism after doubling its dimensions, we need to calculate the surface area of the doubled prism.
The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given the original dimensions of the prism:
Length (l) = 8 cm
Width (w) = 13 cm
Height (h) = 10.5 cm
To find the new dimensions, we multiply each original dimension by 2:
New Length = 2 * 8 cm = 16 cm
New Width = 2 * 13 cm = 26 cm
New Height = 2 * 10.5 cm = 21 cm
Now, let's plug in the new dimensions into the surface area formula:
New Surface Area = 2 * New Length * New Width + 2 * New Length * New Height + 2 * New Width * New Height
= 2 * 16 cm * 26 cm + 2 * 16 cm * 21 cm + 2 * 26 cm * 21 cm
= 832 cm^2 + 672 cm^2 + 1,092 cm^2
= 2,596 cm^2
Therefore, the new surface area of the prism after doubling its dimensions would be 2,596 cm^2.
67777
this was a waste of time make it better
you rock robo
double dimensions is four times the area
4 (2*8*13 + 2*8*10.5 + 2*13*10.5)