Question

I cant seem to figure this out. Help

Answer 1

You’re gonna figure out the area of each side first. I’d recommend labeling them by letter to help keep track. Do 8x5=40 then multiply 40 by 2 (because there are two sides that are 8x5) then do 3x4 which is 12 usually you would divide 12 by 2 to get the area of a triangle but in this case just leave it alone because there are two triangles. Then do 3x8 for the rectangle (24) then you’re gonna add all the sides together. So 40+40+12(or 6+6) +24...youre answer should me 116

Answer 2

108 cm^2

Explanation:

This solid is a triangular prism.

The total surface area is made up of the area of 5 faces.

The front and rear faces are called the bases and are two congruent triangles.

The other three faces are three rectangles and form the lateral area.

SA = area of bases + lateral area

The area of the bases is 2 times the area of a triangle.

The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.

SA = 2 * bh/2 + PH

where

b = base of triangular base,

h = height if triangular base,

P = perimeter of the base, and

H = height of the prism

SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)

SA = 12 cm^2 + 96 cm^2

SA = 108 cm^2