You need to paint the three rectangular sides of the right triangular prism below. how much paint do you need to cover all the rectangular faces of the prism? a prism which has a right triangle for the base and a height of 12 inches. the legs of the right triangle are 5 inches and 12 inches. a. 300 in² b. 360 in² c. 204 in² d. 420 in²

B. 360 in²

Step-by-step explanation:

Rectangle 1

length = 12 in

breadth = 12 in

Surface area = length × breadth

⇒Surface area = 12 × 12

⇒Surface area = 144 inch²

Rectangle 3 (behind)

length = 12 in

breadth = 13 in

Surface area = length × breadth

⇒Surface area = 12 × 13

⇒Surface area = 156 inch²

Rectangle 2

length = 12 in

breadth = 5 in

Surface area = length × breadth

⇒Surface area = 12 × 5

⇒Surface area = 60 inch²

Adding the 3 areas we get

144+156+60 = 360 in²

∴ 360 in² of paint is needed to cover all the rectangular faces of the prism.

explanation:

step-by-step explanation: