Question

Use the image of the L-shaped composite figure formed by two rectangular prisms to answer the question.

Two attached prisms. One is 20 by 4 by 8. The other is 20 by 10 by 2. The face they share is 20 by 2. All measures are centimeters.

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What is the surface area of the figure in square centimeters?

Enter your answer as a number, like this: 42

Answer 1

The surface area of the given rectangular prism is calculated as; 880 cm²

We want to calculate the surface area of the rectangular prism as attached.

The formula for the area of a rectangle is;

Area of rectangle = Length * Width

The formula for the surface area of a rectangular prism is given by:

SA = 2 (lh +wh + lw ) Square units.

To get the surface area of the given prism, we will divide the figure into rectangles to get the surface area as;

S.A = 2(8 * 4) + 2(14 * 2) + (4 * 20) + (20 * 10) + (20 * 10) + (20 * 14)

S.A = 64 + 56 + 80 + 200 + 200 + 280

S.A = 880 cm²