Question

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)

A triangular prism is shown with 2 right triangular sides having legs 3 and 4 and hypotenuse 5. The length of the prism is 3.5

Numerical Answers Expected! @Unanimoose

Answer 1

Can you post an image of it?

Answer 2

@Unanimoose

Answer 3

Ok so let's divide this up.

Answer 4

And theres one more.

Answer 5

Do you know how to find the surface area of a square and a triangle?

Answer 6

Or just the area, is what it's called fora 2d shape.

Answer 7

As in do you know the formulas for the areas of a square and a triangle and how to use them?

Answer 8

Ok so basically:

\[Area of Square = a^2 = a * a\]
\[Area of Triangle = \frac{h \times b }{ 2 }\]

Answer 9

I'm sorry:

\[Area of Quadrilateral = h \times b\]

Answer 10

These are not squares, pardon.

Answer 11

So basically we are going to find the area of these quads and triangles and then add em all up and bam, surface area.

Answer 12

Now the two triangles in the prism are exactly the same so you just need to find the area of one and then double it.

Answer 13

WAIT WAIT I FORGOT A QUAD.

Answer 14

Ok so we are going to find the area of 3 quadrilaterals and one triangle (then double the area of the triangle).

Answer 15

Let me just group them all into one image to make it simpler for you.

Answer 16

I'll leave this to you, it should be pretty easy.