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lara [203]
3 years ago
5

A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.

What is the surface area of the enlarged prism?
Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0

Answer:

376 square centimeters

Step-by-step explanation:

When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.

The surface area of a rectangular prism is given by : 2(lw+wh+lh)

Where l is length, w is width, and h is height

Plugging in the new values we get:

2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376

The surface area of the enlarged prism = 376 cm^2

Alexeev081 [22]3 years ago
5 0

Answer: 376 cm²

Step-by-step explanation:

If the dimensions are doubled then:

length=10cm

width=8cm

height=6cm

You must apply the formula for calculate the surface area of a rectangular prism, whih is shown below:

SA=2(wl+lh+hw)

Where l is the length, w is the width and h is the height.

WHen you substitute values, you obtain the following result:

SA=2[(8cm*10cm)+(10cm)(6cm)+(6cm)(8cm)]

SA=376cm^2

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A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material
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The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

<h3>How to determine the function?</h3>

We have a rectangular storage container without a lid.

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To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

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A₂ = 2(3wh)

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The total cost is

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The function of the total cost is

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