having tons of trouble with surface area and volume :(?

Question

1 What is the surface area of the figure?
(If necessary, round your answer to two places after the decimal point. Use meters for your answer--but do not write units in your answer.)
https://ecot.iqity.net/clsresshr/class.com/ewew_content/prealg1b/exammedia/020314.gif

i have no idea how to do that.

2 What is the surface area of the figure?

(If necessary, round your answer to two places after the decimal point. Use meters for your answer--but do not write units in your answer. Use 3.14 as your value for pi.)

https://ecot.iqity.net/clsresshr/class.com/ewew_content/prealg1b/exammedia/020312.gif

and how to find the volume of them too! does anyone care to explain :( 10 points for you :( c'mon. pweez.
PLEASE DO NOT JUST GIVE ME THE ANSWER. as helpful as it may seem, i would rather know how to do it than just pass the test!

Answer 1

1. Surface area is the sum of the areas of each face. The shape is composed of 2 triangles and 3 rectangles. The area of a triangle is 1/2 b*h (since we have 2, the combined area would be b*h) = 2.5m * 2.2m = 5.5 m^2

The three rectangles are: .54 * 2.2, .54 * 2.5 and .54 * 3.3
1.188, 1.35, and 1.782

So sum them all up: 1.188 + 1.35 + 1.782 + 5.5 = 9.82 m^2

2. This surface is 2 circles and a rectangle. The area of each circle is radius^2 * pi = 2.1*2.1*pi = 13.8544 m^2

The area of the rectangle is the circumference of the circle * the height of the shape = 4.2pi * .38 = 5.014

So sum them together: 13.8544 + 13.8544 + 5.014 = 32.7228 m^2

For volume:

1. Area of base (triangle) * height = 2.75 m^2 * 0.54m = 1.485 m^3

2. Area of base (circle) * height = 13.8544 m^2 * .38m = 5.265 m^3

I hope this makes sense :) Best of luck!

Answer 2

First check the right triangle with the Pythagorean theorem. It is accurate to one centimetre. (2 decimals paces of one meter)
Notice that the top and bottom of the figure would form a rectangle.
The surface area of the solid would be the area of this rectangle plus all the areas of the sides.

2.5 * 2.2 + (0.54 * (2.5+2.2+3.30))
(Be careful with your decimal points.)
2)
2 sides (top and bottom) plus the circumference times height (0.38 metres).
Area of a circle = pi * radius^2
= 3.14 * 2.1 * 2.1
= 13.85
Circumference = 2 * radius * pi
= 13.19
Area = 13.19 * 0.38
= 5.01
Total = 2 * 13.85 + 5.01

The volumes can be had by multiplying the height times the surface area of either the tops or the bottoms (since the tops and the bottoms are the same.).