Question

Can someone help me with this problem please? Thank you!

Answer 1

`\boxed{\small\text{SA = 106 cm}^(2)}`

Explanation:

The surface area of the net shown is the sum of the area of it's faces. We can tell that the net includes two triangles and three rectangles. Therefore,

`\implies \small\text{SA = A (Rectangle 1) + A (Rectangle 2) + A (Rectangle 3) + \text{A (Triangle 1) + A (Triangle 2)}}`

Note: Refer to image

A (Rectangle 1):

Area of rectangle = Length × Width

⇒ = 7 × 5

⇒ = 35 cm²

A (Rectangle 2):

Area of rectangle = Length × Width

⇒ = 7 × 5

⇒ = 35 cm²

A (Rectangle 3):

Area of rectangle = Length × Width

⇒ = 3 × 7

⇒ = 21 cm²

A (Triangle 1):

Area of triangle = 1/2 × Base × Height

⇒ = 1/2 × 3 × 5

⇒ = 1/2 × 15

⇒ = 7.5 cm²

A (Triangle 2):

Area of triangle = 1/2 × Base × Height

⇒ = 1/2 × 3 × 5

⇒ = 1/2 × 15

⇒ = 7.5 cm²

Therefore, the surface area;

`\implies \small\text{SA = 35 + 35 + 21 + 7.5 + 7.5}}`

`\implies \small\text{SA = 70 + 21 + 15}}`

`\implies \boxed{\small\text{SA = 106 cm}^(2)}`