Question

can someone help me please

Answer 1

use formulas to find the lateral area and surface area of the given prism.

472,486
443, 486
472, 479
443, 500

Answer 2

The surface area is achieved by taking apart the figure and finding individual areas then adding them together. Do you know formulas for areas of rectangles and triangles?

Answer 3

for surface area?

Answer 4

Right.

Answer 5

lateral area is 472
not sure what the surface area is

Answer 6

whats the formula for these @mrbarry

Answer 7

Lateral area is like surface area, but we exclude the areas of the bases. Isn't that what you did Kitta?

area (rectangle) = L x W area (triangle) = (1/2) x b x h

Answer 8

okay now how do I know whats the base? and whats the height?

Answer 9

The bases would seem to be the triangles.

For these triangles the base/"bottom" would seem to be 7. Would you agree?

Answer 10

its c

Answer 11

I got something different. What did you get for each piece?

Answer 12

For your potential answers, are those ranges, hundred thousands, what?

Answer 13

Or is that one list for lateral area and one list for surface area?

Answer 14

One is LA and one is SA

Answer 15

Ah, can one assume they are dropping the decimals?

Answer 16

Assuming yes
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lateral surface area (L) = Ph = (s1 + s2 + s3)h

Area of the base (B) = 1/2 * a * b

Surface Area of Prism = (s1 + s2 + s3)h + 2(1/2)*a*b) = Ph + ab
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ph = (2 + 7 + 7.28)*29
Ph = 16.28*29
Ph=472.12
Round
Ph = 472
Lateral area = 472

Area of the base (B) = 1/2 * 2 * 7
B = 1/2*14
B = 7

Surface Area of Prism = (2 + 7 + 7.28)29 + 2(1/2)*2*7) = 472 + 7
So
Surface Area = 472 + 7 = 479
So liek said above C.

Answer 17

like* excuse my typing.

Answer 18

2*(1/2)*2*7 = 1 * 2 * 7 = 14

Answer 19

@mrbarry Thank you for noticing that slight mistake! Sorry misread my own work. Hahaa.
Surface Area of Prism = (2 + 7 + 7.28)29 + 2(1/2)*2*7) = 472 + 14
So
Surface Area = 472 + 14 = 486
So actually A!