Question

Find the surface area of figure. Round answer to nearest hundredth if necessary. Thank you!!

Answer 1

Answer: Surface area = 29.32 inches²

Step-by-step explanation:

The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.

The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

Base = 2 inches

Height = 2 inches

Area = 1/2 × 2 × 2 = 2 inches²

Area of the 2 triangular faces

= 2 × 2 = 4 inches²

The area of the two equal rectangles is

Area = 2 × 2 × 4 = 16 inches²

To determine the width, w of the rectangular base, we would apply Pythagoras theorem.

Hypotenuse ² = opposite side² + adjacent side²

w² = 2² + 2²

w² = 4 + 4 = 8

w = √8 = 2.83

Area of the rectangular base is

2.83 × 4 = 11.32 inches²

Surface area = 4 + 16 + 11.32 = 31.32 inches²