Question

Given the net of the rectangular prism, what is its surface area?

Answer 1

Answer:

S.A. = 66m²

Step-by-step explanation:

Look at the picture.

We have :

4 rectangles 3m × 4m → A₁ = 3 · 4 = 12 m²

2 rectangles 3m × 3m → A₂ = 3 · 3 = 9 m²

Therefore the Surface Area of the rectangular prism is:

S.A. = 4A₁ + 2A₂

Substitute:

S.A. = 4(12) + 2(9) = 48 + 18 = 66

Answer 2

The net surface area of the rectangular prism would be S.A. = 66m²

What is the surface area of this rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = l x b

We have given

4 rectangles with area

A₁ = 3m × 4m  = 12 m²

2 rectangles with area

A₂ = 3m × 3m = 9 m²

Therefore the Surface Area of the rectangular prism is:

S.A. = 4A₁ + 2A₂

S.A. = 4(12) + 2(9)

       = 48 + 18

       = 66

Hence, the net surface area of the rectangular prism would be 66 meters sq.

Learn more about a rectangular prism;

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