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1 year ago

Surface area of rectangular prism length=6m breath=4 height= 2

Mathematics

2 answers:

Vanyuwa [196]1 year ago

7 0

Step-by-step explanation:

as with dice (as a special quadratic form of a prism) such a prism has 6 sides :

top and bottom

left and right

front and back.

all we need to do is calculate the areas of the 6 sides and add them up for the total surface area. that's all that's needed.

it is not specified, but I assume this prism to be regular, as there is no additional information provided. that means the rectangles in each of the mentioned pairs are equal.

therefore we need to calculate the area only once and multiply it by 2.

so,

top and bottom :

2 × 6×4 = 2 × 24 = 48 m²

left and right :

2 × 4×2 = 2 × 8 = 16 m²

front and back :

2 × 6×2 = 2 × 12 = 24 m²

the total surface area of the prism is

48 + 16 + 24 = 88 m²

katen-ka-za [31]1 year ago

4 0

Answer:

TSA = 88

Step-by-step explanation:

Formula we use,

→ TSA = 2(lb + bh + lh)

The TSA of rectangular prism will be,

→ 2(lb + bh + lh)

→ 2[(6 × 4) + (4 × 2) + (6 × 2)]

→ 2(24 + 8 + 12)

→ 2 × 44 = 88

Hence, the TSA is 88.

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3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

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

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

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

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

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3 years ago

Which of the following is the best estimate for 31% of 9? *GIVING 99 Points!*

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The first time a census was taken in Esinville, the population was 12,621. Each year after that, the population was about 6% hig

Sedbober [7]

Step-by-step
Population was 12.621 when it was measured

Next year it rose by 6%, so add that 6% to 100% and multiply with population measured

12.621 × (100%+6%) = 12.621 × 106% = 13.379,24

Since a man cant be 0,24, we count that as +1

13.379,24 = 13.379 + 1 = 13.380

That was for a year after measurement, now let's calculate for another year
Now, add those 6% to a new population number

13.380 × (100%+6%) = 13.380 × 106% = 14.182,8

since 0,8 isn't a man, instead we add again +1

14.182,8 = 14.182 + 1 = 14.183

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14.183 × (100%+6%) = 14.183 × 106% = 15.033,98

round it again to +1, since 0.98 isn't a man

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3 years ago

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Answer:

Step-by-step explanation:

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Marie can find the volume of a cube by using the formula V = 53, where s represents the side length of the cube. If Marie's

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Answer:

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3 years ago

Surface area of rectangular prism length=6m breath=4 height= 2​

Surface area of rectangular prism length=6m breath=4 height= 2