Trey and Matt each have a rectangular prism. The base of Trey’s prism is 4 cm by 7 cm and has a height of 12 cm.

What is the total surface area of Trey's prism?

The base of Matt’s prism is 6 cm by 10 cm and has a height of 3 cm.

What is the total surface area of Matt's prism?

Whose rectangular prism will require more material to construct?

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

ιт ωαѕ 5¢м вє¢αυѕє 1/4 σf 20 ιѕ 5

αи∂ 5*4=20

нσρє ι ¢συℓ∂ нєℓρ уσυ