A rectangular prism has the following dimensions. length: 8 cm width: 13 cm height: 10.5 cm If all the dimensions of the prism are doubled, what will be its new surface area?

Question

Mathematics

Stokes

25 January, 18:50

A rectangular prism has the following dimensions. length: 8 cm width: 13 cm height: 10.5 cm If all the dimensions of the prism are doubled, what will be its new surface area?

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Answers (1)

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Melany Duran · Answer 1

2596 cm²

Step-by-step explanation:

For this problem, it can be easiest to work with the doubled numbers. The area is given by ...

... A = 2 (LW + H (L+W))

Filling in values that are twice those given, the area of the new prism is ...

... A = 2 ((16 cm) (26 cm) + (21 cm) ((16 + 26) cm))

... = 2 (416 cm² + 882 cm²)

... A = 2596 cm²