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3 years ago

5

frank is wrapping a present. the box measures 6 cm wide by 9 cm long by 5.1 cm tall.what amount of wrapping paper,not counting o

verlap ,will frank need

1 answer:

Montano1993 [528]3 years ago

3 0

(2 × (6cm x 9cm)) + (2 × (6cm x 5.1cm)) + (2 × (9cm x 5.1cm)) = 261 square cm

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

For Amy's cell phone plan, she pays $30 per month and $0.05 per text message. She wants to keep her bill under $60 per month. Wh

S_A_V [24]

Answer:

.05x + 30 < 60

Step-by-step explanation:

.05x + 30 < 60

.05 is the cost per text. Since we don't know how many text messages she sends, we have to use x to represent it. We know she pays $30 every month no matter what so, we can write .05x + 30. < means it has to be LESS than $60 NOT EQUAL TO, but less than.

I hope this helps you out!

3 0

3 years ago

A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop

Lunna [17]

Answer

If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45

7 0

2 years ago

If kevin makes c toys in m minutes, how many toys can he make per hour

mina [271]

Answer:

$\frac{60c}{m}$

Step-by-step explanation:

We can use the unity rule to solve this problem.

Number of toys made in m minutes = c

Number of toys made in 1 minute = $\frac{c}{m}$

Number of toys made in 60 minutes = $\frac{c}{m} \times 60 = \frac{60c}{m}$

Since 60 minutes = 1 hours, we can write:

Number of toys made in 1 hour = $\frac{60c}{m}$

Therefore, we can say that Kevin makes $\frac{60c}{m}$ toys per an hour.

7 0

3 years ago

Answer both questions please

alex41 [277]

Answer:

Sorry I can't because i don't know this : (

Step-by-step explanation:

6 0

3 years ago