Question

What is the surface area of the prism?

VHS_PA_S2_05_L213_L313_UT_Q10.gif

A.
480 in2

B.
348 in2

C.
672 in2

D.
116 in2


http://static.k12.com/calms_media/media/243500_244000/243729/1/00ec6a34272c3b79f5f020c92e7310268aab6d54/VHS_PA_S2_05_L213_L313_UT_Q10.gif

Answer 1

@kidrah69

Answer 2

@jim_thompson5910

Answer 3

@rishavraj

Answer 4

can you see the shape has 3 rectangles?

so, what's the area of those 3 rectangles anyway?

Answer 5

@jdoe0001 Are you there?

Answer 6

sorta, site gets all laggy

Answer 7

Yeah.

Answer 8

notice the 3 rectangles in the shape?

see their length and width?

so.. what are their areas?

Answer 9

70

Answer 10

16*7=112

Answer 11

right... so.... 2 of the rectangles are 7 *10, or 70 each
and the rectangle at the base, laying down, is a 16 * 7 or 112


so.. now let's see the triangles
notice

the shape is really just 3 rectangles and 2 triangles stacked up to each other at the edges

so so we have two triangles

they have a "base" of 16, and a "height" of 6, or altitude of 6

so area of a triangle is 1/2 base * height


get the area of those, and suim them up

Answer 12

\(\bf \cfrac{1}{2}\cdot 16\cdot 6\implies 8\cdot 6\implies 48\)

so, 3 rectangles, 70 + 70 + 112
and 2 triangles, 48 + 48

the surface area of the shape is then

70 + 70 + 112 + 48 + 48

Answer 13

348

Answer 14

yeap