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3 years ago

What is the surface area of this shape? 5 cm 4 cm 2 cm 6 cm 3 cm

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

Where is the shape or we have to draw accordingly ??

Step-by-step explanation:

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1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.

diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

$z^3=\frac{x}{y}$

we have

$x=972\ cm^3\\y=36\ cm^3$

substitute

$z^3=\frac{972}{36}$

Simplify

$z^3=27\\z=3$

therefore

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

$z^2=\frac{x}{y}$

we have

$x=594\ cm^2$

$z=3$

substitute

$3^2=\frac{594}{y}$

solve for y

$y=\frac{594}{9}=66\ cm^2$

therefore

The surface area of the smaller prism is 66 square centimeters

6 0

3 years ago

What is 467% changed to a fraction?

garik1379 [7]

First of all, you must turn it into a decimal. To turn into a decimal, you divide by 100.

467÷100=4.67

You put aside the 4 and multiply .67 by 100

4.67= $4 \frac{67}{100}$ as a whole number.

If you want an improper fraction, multiply 100 by 4 and add 67= $\frac{467}{100}$ which is where you started from.

8 0

4 years ago

Read 2 more answers

The fact that financial services are more plentiful and easier to access means that

Virty [35]

Not 100% sure but I think it is: consumers need to be better informed about what services are available and what those services cost.

8 0

3 years ago

Felicia has $6.40 in dimes and quarters. She has 34 coins in all. How many of each type of coin does Felicia have?

jonny [76]

Answer:

you would use 20 quarters and 14 dimes

Step-by-step explanation:

25*20=500

10*14=140

5.00+1.40=6.40

4 0

3 years ago

Determine a constant in 9x + 4y -13. A) -13 B) 9x C) 4y

Oduvanchick [21]

I think the answer is c

7 0

3 years ago