What is the surface area of this design?

What is the surface area of this design?


Okay, i went with a rectangle, if the rectangle base is 12 and the height is 6 then it would be 12*6 + 12*6 + 12*6= 216 now the ratio is easy , 72:72 because that's what makes up the 12*6 and because there is 3 it's 72 two times now for part b 5 x 10 so that is the height and length so now what you want to do is do what you did the second time so it would be 72:50.
Extra tips: To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.
l = length

w = width

h = height

SA = 2lw + 2wh + 2lh.

V = lwh.

Write an expression for the ratio of surface area to volume:

SA / V = [ 2lw + 2wh + 2lh] / lwh 

SA / V = 2lw / lwh + 2wh / lwh + 2lh / lwh

SA / V = 2/h + 2/l + 2/w

Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?

I will work with an hypothetical figure where you have , l, w and the volume.

I suppose you know the volume, because it is the amount of product you need to pack. Make V = 1000 cm^3, l = 10 cm and w = 5 cm.

Wtih two dimensions and the volumen you can find the other dimension.

V = lwh = 1000 cm^3 => h = 1000 cm^3 / (lw) = 1000 cm^3 / (10 cm * 5 cm)

h = 1000 cm^3 / (50 cm^2) = 20 cm

Now you have the three dimensions to pack 1000 cm^3 of your product:

l = 10 cm
w = 5 cm
h = 20 cm

And the ratio of surface area to volume is:

SA / V = 2/h + 2/l + 2/w = 2/(20cm) + 2/(10cm) + 2/(5cm) = 0,7 (cm)^-1
I went with a nerf gun package with the dimensions, 5 ft, 7 ft, 3 ft. The prism's volume would be 105 ft squared.

The protist is more efficient at expelling wastes because it has a higher surface area-to-volume ratio.


According to the given information, protists have more surface area to volume ratio as compared to a human intestinal cell. More surface area to volume ratio refers to the fact that more of the surface area of the organism is in contact with surroundings. A cell or organism with a greater surface exposed to surroundings has a higher rate of exchange of materials or heat with the outer environment. Having a greater surface area of the body exposed to the surroundings, protists are able to release the waste out of the body more efficiently as compared to the small intestine.

the answer is a they can have cilia

Surface area; Greater; subtract

Step-by-step explanation:

give me a minute to find out more about the question and answer


Step-by-step explanation:


We have been given the formula for volume and the surface area as


V= lwh

Hence the ration will be


Let us apply this to a tissue box measuring

l=6 in , w=3 in , h=2 in


SA=36+12+24=24 sq in

Volume=6*3*2=36 in cube



 The correct option is (C) 197 in².

Step-by-step explanation:  We are given to find the surface area of the design shown in the figure.

We can see that

the design consists of 2 trapezoids and 4 rectangles.

Now, the surface area of the whole design will be the sum of the area of these 6 two-dimensional figures.

Area of 2 trapezoids is given by

A_t=2\times \dfrac{1}{2}\times\textup{sum of parallel sides}\times\textup{height}\\\\\\\Rightarrow A_t=(5+9)\times5\\\\\Rightarrow A_t=70~\textup{in}^2.

And the area of the 4 rectangles is given by

A_r=5\times5+5\times5+5\times6.4+5\times9\\\\\Rightarrow A_r=25+25+32+45\\\\\Rightarrow A_r=127~\textup{in}^2.

Therefore, the total surface area of the given design is


Thus, the correct option is (C) 197 in².

The correct answer is C or 197in squared because the back and top sides are 25. so that is 50. Then the sides are 35. so that is 70. and the front is 32. The bottom is 45. So, 50+70+32+45 is 197in squared.

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