Question

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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Answer 1

Answer:

355.3 square units

Step-by-step explanation:

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

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

In this case:

• $l = 5.5$
• $b = 14.3$
• $h = 5.0$

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

$S.A.=2(14.3 \times 5.5+5.0 \times 5.5+5.0 \times 14.3)$

$S.A.=2(78.65+27.5+71.5)$

$S.A.=2(177.65)$

$S.A.=355.3\; \sf square\;units$

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

$\huge\boxed{\boxed{355.3}}$

Answer 2

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:

$\Large\boxed{\boxed{ A = 2lw + 2lh + 2bh}}$

where:

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

Given:

• $l = 5.5$
• $b = 14.3$
• $h = 5.0$

Now, substitute these values into the formula:

$A = 2(5.5 \times 14.3) + 2(5.5 \times 5.0) + 2(14.3 \times 5.0)$

$A = 2(78.65) + 2(27.5) + 2(71.5)$

$A = 157.3 + 55 + 143$

$A = 355.3$

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.