The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².
What is rectangular prism?
A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface area of a rectangular prism is expressed as;
S.A = 2(lw + lh + wh)
Where l is length, w is width and h is height.
Given the data in the image;
For the first rectangular prism
For the second rectangular prism
Now, surface area of the first rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)
S.A = 2( 3cm² + 4cm^2 + 12cm² )
S.A = 2 × 19cm²
S.A = 38cm²
Next, the surface area of the second rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)
S.A = 2( 15cm² + 10cm^2 + 6cm² )
S.A = 2 × 31cm²
S.A = 62cm²
Total surface area TSA = 38cm² + 62cm²
T.S.A = 100cm²
Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²
Learn more about area of prisms here: https://brainly.com/question/17351910
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