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PLEASE HELP

Use the image of the rectangular prism to find the surface area. Round your answer to the nearest hundredth.

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PLEASE HELP Use the image of the rectangular prism to find the surface area Round your answer to the nearest hundredth class=

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semsee45

Answer:

355.3 square units

Step-by-step explanation:

To find the surface area of a rectangular prism, we can use the following formula:

[tex]\boxed{\begin{array}{l}\underline{\textsf{Surface area rectangular prism}}\\\\S.A.=2(bl+hl+hb)\\\\\textsf{where:}\\\phantom{ww}\bullet\;\textsf{$l$ is the length of the base.}\\ \phantom{ww}\bullet\;\textsf{$b$ is the breadth of the base.}\\ \phantom{ww}\bullet\;\textsf{$h$ is the height of the prism.}\end{array}}[/tex]

In this case:

  • [tex]l = 5.5[/tex]
  • [tex]b = 14.3[/tex]
  • [tex]h = 5.0[/tex]

Substitute the given values into the formula and solve for SA:

[tex]S.A.=2(14.3 \times 5.5+5.0 \times 5.5+5.0 \times 14.3)[/tex]

[tex]S.A.=2(78.65+27.5+71.5)[/tex]

[tex]S.A.=2(177.65)[/tex]

[tex]S.A.=355.3\; \sf square\;units[/tex]

Therefore, the surface area of the given rectangular prism in square units is:

[tex]\huge\boxed{\boxed{355.3}}[/tex]

msm555

Answer:

355.30 square units

Step-by-step explanation:

To find the surface area of a rectangular prism, we need to calculate the areas of its six faces and then sum them up.

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

[tex] \Large\boxed{\boxed{ A = 2lw + 2lh + 2bh}} [/tex]

where:

  • l is the length,
  • w is the width,
  • h is the height.

Given:

  • [tex] l = 5.5 [/tex]
  • [tex] b = 14.3 [/tex]
  • [tex] h = 5.0 [/tex]

Now, substitute these values into the formula:

[tex] A = 2(5.5 \times 14.3) + 2(5.5 \times 5.0) + 2(14.3 \times 5.0) [/tex]

[tex] A = 2(78.65) + 2(27.5) + 2(71.5) [/tex]

[tex] A = 157.3 + 55 + 143 [/tex]

[tex] A = 355.3 [/tex]

Therefore, the surface area of the rectangular prism is approximately 355.3 square units. Rounding to the nearest hundredth, the surface area is 355.30 square units.

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