A right rectangular prism has a length of 20.2 cm, a width of 9.1 cm and a height of 14.3 cm. What is the surface area of the right rectangular prism?

Verified Answer :

SA=2ab+2bc+2ac
SA=220.29.1+29.114.3+220.214.3
SA=364+260.26+577.72
SA=1201.98

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Answer:

the surface area of the right rectangular prism is, \(1205.62 cm^2\)

Step-by-step explanation:

Surface area of the right rectangular prism(S) is given by:

\(S=2(lw+wh+hl)\)         ....[1]

where

l is the length , w is the width and h is the height of the rectangular prism.

As per the statement:

A right rectangular prism has a length of 20.2 cm, a width of 9.1 cm and a height of 14.3 cm.

⇒ l = 20.2 cm , w = 9.1 cm and h = 14.3 cm

Substitute these in [1] we have;

\(S = 2(20.2 \cdot 9.1+9.1 \cdot 14.3+14.3 \cdot 20.2)\)

⇒\(S = 2(183.82+130.13+288.86) = 2(602.81) = 1205.62 cm^2\)

therefore, the surface area of the right rectangular prism is, \(1205.62 cm^2\)