Answer:
question 1 asks about the volume and question 2 asks about the surface area.. I can't see all of question 3... soo I'll give you the first two only
Step-by-step explanation:
this seems like it would be easier to figure out.. if we did the volume of the block that would fit around the odd shape of the foam soooo
the block would be 10 inches tall by 36 inches long by 20 inches in depth
use a calculator.. 10 x 36 x 20 = 7200 [tex]inches^{3}[/tex] is the volume... of just a block that would fit perfectly over that foam structure.. now subtract the two pieces that are not part of the block.. the long rectangle and the triangle off the end.
the first one to subtract is a block that is 8 x 5 x 20= 800
the second piece to subtract is the triagle block that is 18 x 8 so the formula for the area of a triangle is 1/2 base * height = 1/2 (18*8)= 72
7200-800-72=[tex]inches^{3}[/tex] is the total volume of the shape
the surface area is just add up each flat area of the shape
side = 36x10 - 8x5 - 1/2(8x20)
side = 240
5x20 + 8x20 + 5x20 + 10x20 + 20x20 + 2x20 +36x20 + 2(side)= 2200 [tex]inches^{2}[/tex]
