Find the surface area of the prism

Explanation:

The front triangular face is a triangle with base 8 and height 6. Its area is

A = 0.5*base*height

A = 0.5*8*6

A = 24 square feet

The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.

The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet

The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.

Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet

Overall, the total surface area is: 24+24+50+30+40 = 168 square feet

We just add up all the individual areas of each face to get the total surface area.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1