Question

The surface area of the rectangular pyramid is 146 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?

320 in2

336 in2

292 in2

438 in2

Answer 1

So, first thing first, you should find the slant height of the pyramid. try it

Answer 2

how do i find it ?

Answer 3

Area of rectangular pyramid = 1/3 (area of the base) (height)
You have the area of rectangular pyramid and you can calculate the area of base. from that you should find the height.
So:
146 = 1/3 * 7 * 6 * height
height = 146 / 14

Now find the surface area of the prism using the height we just found out.
(it has 4 rectangular and 2 squares)

Answer 4

im not getting it .

Answer 5

"The height of the rectangular prism is the same as the slant height of the pyramid."
So the area of the prism will be:
(4 * 7 * 146/14) + (2 * 6 * 7) = 292 + 84 = 376

Now if your question doesn't include the 376 as an answer (which is correct), you should use 292 instead.

Answer 6

thank you i understand nw .