Question

Find the surface area.

Answer 1

Explanation:

The area of the two bases is 2*(1/2)*(3 in)*(4 in) = 12 in².

The lateral area is that of a rectangle 2 in high by (3 in + 4 in + 5 in) long, so is

(2 in)×(12 in) = 24 in²

The total surface area is the sum of the base areas and the lateral area

A = 12 in² + 24 in²

A = 36 in²

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Because you're familiar with the Pythagorean theorem, you know the right triangle with side lengths 3 and 4 will have a hypotenuse of length

Answer 2

The area of the two bases is 2*(1/2)*(3 in)*(4 in) = 12 in².

The lateral area is that of a rectangle 2 in high by (3 in + 4 in + 5 in) long, so is
(2 in)×(12 in) = 24 in²

The total surface area is the sum of the base areas and the lateral area
A = 12 in² + 24 in²
A = 36 in²

_____
Because you're familiar with the Pythagorean theorem, you know the right triangle with side lengths 3 and 4 will have a hypotenuse of length 5.