Suppose all the dimensions of a cube are multiplied by 4.
a. what happens to its surface area?
b. what happens to its volume?
Stacey Warren - Expert brainly.com
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SA = 6(6x)^2 = 6*36x^2 = 36*6x^2
the surface area is 36 times the original
V = (6x)^3 = 6*6*6*x^3 = 216*x^3
the volume is 216 times the original volume.
|dw:1333290594964:dw| wouldn't you do 4 * 4 * 4? since it's multiplied by 4..?
so the side of this new cube will be 4s where s is the side of the previous cube.
the surface area and volume of the previous one will be
now if we multiply the dimension(side of the cube in this case) by four then,
so the SA of the cube if its dimension is multiplied by 4 will be 16 times the size of its previous SA and its V will be 64 times the size of its previous V
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Ah ok.. so do you know how the dpalnc got 36 and 216 times bigger? Your answer makes sense...
re: dpal sometimes you have a brain freeze. Somehow got 6 on his mind (probably thinking of the surface area formula: 6 sides) and used 6 rather than 4 for the multiple.
btw, it is generally the case that if you have multiply the sides by x, the surface area of an object grows by x^2 and its volume by x^3
in my answer, I do not have to have the letter s .. like for V it is 64s.. can I just say that it is 64 times bigger?