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3 years ago

13

A pentagonal prism has a base area of 124 square inches. The lateral area (area of the sides) is made up of 5 equal-sized rectan

gles that are each 80 square inches. What is the surface area of the pentagonal prism?

1 answer:

wel3 years ago

8 0

The surface area of the pentagonal prism is 648 square inches.

Step-by-step explanation:

Step 1:

The surface area of a shape is the sum of all the areas of all the external surfaces.

The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.

The total surface area of the prism is the sum of the individual areas of the 7 sides.

Step 2:

The area of the 2 pentagonal sides $= 2(124) = 248$ square inches.

The area of each rectangular side is 80 square inches. So

The area of 5 rectangular sides $= 5(80) = 400$ square inches.

The total surface area of the prism $=248+400 = 648$ square inches.

The surface area of the pentagonal prism is 648 square inches.

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erik [133]

We have to find the mass of the gold bar.

We have gold bar in the shape of a rectangular prism.

The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.

First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:

Volume of the gold bar $= length \times width\times height$

Plugging the values in the equation we get,

Volume of the gold bar $=18.00 \times 9.21 \times 4.45= 737.721cm^3$

Now that we have the volume we can find the mass by using the formula,

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The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:

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3 years ago

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evablogger [386]

Try this one:

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4 years ago

If ΔRED ≅ ΔTAN, then which of the following statements is not true? RE ≅ TA ∠E ≅ ∠A RD≅ TA ∠D ≅ ∠N

Assoli18 [71]

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3 years ago

Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number o

Sedaia [141]

Answer:

6 miles

Step-by-step explanation:

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3

6

9

12

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3 years ago

Read 2 more answers

Simple the expression <br> ( 3k + 4 1/5) + 8 3/5

lesantik [10]

Answer:

$3k+12\frac{4}{5}$

Step-by-step explanation:

$(3k+12\frac{4}{5})$

Convert mixed numbers to improper fractions:

$a\frac{b}{c}=\frac{a*c+b}{c}$

$4\frac{1}{5}=\frac{4*5+1}{5}$

$=\frac{21}{5}$

$=(3k+\frac{21}{5} )+\frac{43}{5}$

Add the fractions

$\frac{21}{5}+\frac{43}{5}$

$\frac{21}{5} \frac{43}{5} =\frac{64}{5}$

$=3k+\frac{64}{5}$

Divide 64 by 5

$\frac{64}{5}$ $12.8 or 12\frac{4}{5}$

$=3k+12\frac{4}{5}$

7 0

3 years ago