Question

Which equation can be used to calculate the surface area of the rectangular prism net shown below?

Answer 1

Surface of the area = (10 × 13) + (10 × 12) + (10 × 5) + 2[1/2 × 12 × 5]

Explanation:

Surface area of the rectangular prism can be calculated by

Total surface area = area of rectangle with dimensions 10 cm × 13 cm +

area of rectangle with dimensions 10 cm × 12 cm +

area of rectangle with dimensions 10 cm × 5 cm +

area of two similar triangle with height 12 cm and base 5 cm.

= ( 10 × 13 ) + ( 10 × 12 ) + ( 10 × 5 ) + 2[1/2 × 12 × 5]

Surface of the area = ( 10 × 13 ) + ( 10 × 12 ) + ( 10 × 5 ) + 2[1/2 × 12 × 5]

Answer 2

`SA=(1)/(2)(5)(12)+(1)/(2)(5)(12)+(5)(10)+(12)(10)+(13)(10)`

Explanation:

we know that

The surface area is equal to the area of all the faces of the triangular prism

`SA=(1)/(2)(5)(12)+(1)/(2)(5)(12)+(5)(10)+(12)(10)+(13)(10)`

simplify

`SA=(5)(12)+(5)(10)+(12)(10)+(13)(10)`

`SA=360\ cm^(2)`