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TEA [102]
3 years ago
5

Surface area what the surface area of a rectangle 8in 10 3/4ths and 5 1/2

Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer:

The surface area of the cuboid is 378 \frac{1}{4} square inches.

Step-by-step explanation:

A cuboid is a shape which has six surfaces formed from a rectangle. The surface area of a cuboid is the sum of all its individual ares of each surface.

Given the following dimensions of the cuboid:

length = 10 3/4 in = \frac{43}{4} in

width = 8 in

height = 5 1/2 in = \frac{11}{2} in

Since the opposite surface of a cuboid are the same, then;

Area of the 1st surface = length x width

                                      = \frac{43}{4} x 8

                                      = 86 square inches

Area of the 2nd surface = width x height

                                        = 8 x \frac{11}{2}

                                        = 44 square inches

Area of the 3rd surface = length x height

                                       =  \frac{43}{4} x \frac{11}{2}

                                       = \frac{473}{8}

                                       = 59 \frac{1}{8} square inches

Surface area of the cuboid = 2 x 86 + 2 x 44 + 2 x \frac{473}{8}

                                             = 172 + 88 + 118.25

                                             = 378.25

Surface area of the cuboid = 378 \frac{1}{4} square inches

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An art project has an area of 63.6 square inches. What is the width, in inches, of the project?
Flura [38]

Answer:

The width of the art projects of area 63.6 square inches is 7.97 inches .

Step-by-step explanation:

Given as :

The area of the square art project = 63.6 square inches

Since The shape of the art project is square

So, The Area of square = A = side × side = side²

Now, let the measure of the width of art project = w inches

I.e side = w inches

or ,  A  = side²

Or , A = w²

Or, 63.6 = w²

So, w = \sqrt{63.6}

I.e w = 7.97 inches

So, the width of the projects = w = 7.97 inches

Hence The width of the art projects of area 63.6 square inches is 7.97 inches . Answer

4 0
4 years ago
A dolphin can swim up to 40 miles per hour.what is this speed in feet per hour?
geniusboy [140]
211,200 feet per hour
7 0
3 years ago
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This frequency table represents the number of cars owned by each family on a street.
Ilya [14]

Step-by-step explanation:

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6 0
3 years ago
A girl drops a ball off a cliff into the ocean. The polynomial −8t2+350 gives the height, in feet, of the ball t seconds after i
postnew [5]

Answer:

318 feet.

Step-by-step explanation:

We have been given that a girl drops a ball off a cliff into the ocean. The polynomial h(t)=-8t^2+350 gives the height, in feet, of the ball t seconds after it is dropped from a 350 ft tall cliff. We are asked to find the height in feet after 2 seconds.

To find the height after 2 seconds, we will substitute t=2 in our given equation as:

h(2)=-8(2)^2+350

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5 0
3 years ago
At a coffee shop you can buy coffee in a paper cup for $1.50 or in a
lyudmila [28]

Given :

Coffee cost in a paper cup , $1.50 .

Coffee cost in a cremic mug , $6 .

Refills of the ceramic mug are $1 .

To Find :

How  many refills do you need to buy to make buying the mug a better value

then buying individual paper cups of coffee.

Solution :

Let , number of fills to make mug better option is x .

So , money spend in mug in greater than paper cup .

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Therefore , after 12 cups of coffee, ceramic mug will have better value than paper cups .

Hence , this is the required solution .

6 0
3 years ago
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