Question

What is the surface area of the prism?
https://static.k12.com/calms_media/media/243500_244000/243731/1/291249ebebc072bafaff090e8ca65a2db9bac29b/VHS_PA_S2_05_L213_L313_UT_Q10_b.gif



A.


420 in2


B.


288 in2


C.


140 in2


D.


144 in2

Answer 1

Please show attempted work.

Answer 2

i am. i believe it is B

Answer 3

Find the area of a base.
Each is a triangle with base and height given.
Multiply that area by 2.
Then the sides are 3 rectangles.
Find their areas and add their areas tot eh area of the 2 bases.

Answer 4

I don't get B.

Answer 5

What do you get for the area of one base?

Answer 6

48+48+90+90+144 Is it A? there are 2 triangles, the areas are (16*6) / 2

Answer 7

then 2 rectangles, they are 10 * 9

Answer 8

then the base is 16 * 9

Answer 9

so the area of the prism is: 48+48+90+90+144= 420 so its A?

Answer 10

@mathstudent55

Answer 11

Correct.

Answer 12

i have one more, ill post, show my work, and then show me if its correct or not.

Answer 13

For this prism, the triangles are called the bases.
The three rectangles are the sides.
It's important to understand these terms because if in a problem you are asked for the lateral area, then it is the sum of the areas of the three rectangular sides.
Just because one of the rectangular sides is on the bottom, it does not make it the base.

Answer 14

Ok.