Question

Find the surface area of a rectangular prism whose length is 11 cm, width 6 cm,
height 6 cm.


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Answer 1

• The surface area of the rectangular prism = 336 cm².

Given :

• The length of the rectangular prism = 11 cm.
• The breadth of the rectangular prism = 6 cm.
• The height of the rectangular prism = 6 cm.

To Find :

• The surface area of a rectangular prism.

Solution :

We know that,

Surface area of the rectangular prism,

$\star \: \: \underline{ \underline{ \boxed{ \bf{2(wl + hl + hw)}}}}$

Where,

• w = width.
• l = length.
• h = height.

We have,

• Width = 6 cm.
• Length = 11 cm.
• Height = 6 cm.

Now, substitute all the given values in the formula of the surface area of a rectangular prism.

$\implies \bf{2 \bigg((6 \: cm)(11 \: cm) + (6 \: cm)(11 \: cm) + (6 \: cm)(6 \: cm) \bigg)} \\ \\ \\ \implies \bf{2 \bigg((66 \: {cm}^{2}) + (66 \: {cm}^{2} ) + (36 \: {cm}^{2} ) \bigg)} \\ \\ \\ \implies \bf{2(168 \: {cm}^{2} )} \\ \\ \\ \implies \bf{336 \: {cm}^{2} } \\ \\ \\ \: \: \therefore \bf \: Surface \: Area = 336 \: {cm}^{2}$

Hence,

The surface area of the rectangular prism is 336 cm².

_________________________

Additional Information :

Some more formulas related to the rectangular prism :-

1) Surface area = 2 (wl + hl + hw)

Where,

• w = width.
• l = length.
• h = height.

w is also written as b and b stands for breadth.

We can also written as :

→ 2 (bl + hl + hb)

$\quad$

2) Volume = whl

Where,

• w = width OR b = breadth.
• l = length.
• h = height.