A rectangular pyramid and a rectangular prism have bases of the same dimensions as shown below.

The surface area of the rectangular pyramid is 131 square inches. The height of the rectangular prism is the same as the slant height of the pyramid. What is the surface area of the rectangular prism?

253 in2

280 in2

262 in2

293 in2

Question

A rectangular pyramid and a rectangular prism have bases of the same dimensions as shown below.  

The surface area of the rectangular pyramid is 131 square inches. The height of the rectangular prism is the same as the slant height of the pyramid. What is the surface area of the rectangular prism?

 253 in2

 280 in2

 262 in2

 293 in2

anonymous · Answer

attachment

anonymous · Answer

SOMEONE PLEASE HELP!

jhonyy9 · Answer

are you here ?

jhonyy9 · Answer

how you calculi the surface area of a rectangular pyramid ?

anonymous · Answer

1/2 × Perimeter × Side Length
+ Base Area right? @jhonyy9

jhonyy9 · Answer

yes but you need to calculi the slant height for you can using it to calculi the surface area of the reactangular prism

jhonyy9 · Answer

how are these opposite sides of this rectangulare pyramid ?

anonymous · Answer

what would the slant height be?

jhonyy9 · Answer

this wann being the height of a side what is a triangle 

yes ?

jhonyy9 · Answer

there are two + two the same triangles what are there height equales 

yes ?

jhonyy9 · Answer

how you get area of a triangle ?

jhonyy9 · Answer

so base time height divide by 2

anonymous · Answer

would it be 7x5/2? i'm not completely sure...

jhonyy9 · Answer

but because these triangles are the same heights than you can sign this height with x and using x you need rewriting area of these sides using for two triangles like base 7 and for two 5

anonymous · Answer

ok, i think i got the answer.

jhonyy9 · Answer

so than you get 7*x/2 and 5*x/2 

so because there are two sides the same so for you need multiplie by 2 

than you get x= ?

jhonyy9 · Answer

2*7x/2 +2*5x/2 = ?

jhonyy9 · Answer

=7x+5x=12x

but you know again that this surface area is equal 131 square inche

yes ?

anonymous · Answer

yes, okay, i had 12 but i wasn't sure. so what would the answer be out of the choices?

jhonyy9 · Answer

sorry but i dont know again you need calculi it 

do you wann cooperating on ?

anonymous · Answer

okay, thanks..

jhonyy9 · Answer

so because you know that the surface area of this pyramid is equal 131 

thanks what ?

jhonyy9 · Answer

so if the surface area is 131 how many will be the lateral area ?

anonymous · Answer

i got 262 in2 as my answer.

jhonyy9 · Answer

how you have got it ?