Question

I WILL AWARD BRAINLIEST!!
Find the surface area of a regular prism with height 6 cm, if the base of the prism is a regular quadrilateral with side 4 cm.

Answer 1

Answer: $SA=128cm^2$

Step-by-step explanation:

So the base of the prism is a regular quadrilateral with side 4cm, meaning that the base is effectively a square with all sides being 4cm.

Let's find the area of the base first, which would be just A=lw, so we end up with A=16

Now multiply this by 2 to find the surface area of both the bottom and top bases, which would be 32.

Now the area of the sides can also be found with A=lw, with l=6 and w=4, meaning the A=24

Multiply this by 4 to find the area of all four sides, which would be 96.

Now take 96 and add 32 to it to find the surface area of the entire prism, which would be 128.