Question

Help check my work please:

Box A has a volume of 32 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were tripled. What is the volume of Box B?

864 m3

288 m3

96 m3

32 m3

I got 864 the first time, but then the second time I got 96. Help please!

Answer 1

@ganeshie8 please help me

Answer 2

when dimensions are multiplied by 'x'
Area gets multiplied by \(\large x^2\)
and volume gets multiplied by \(\huge x^3 \)

Answer 3

Okay, I'm still confused. The first time I did 3^3 = 27. 32 * 27 = 864 but then when I checked it again I did it like this
(1/3)^3 = 32/ V
1/27 = 32/V
V=96
and i got a different answer. Both are choices

Answer 4

@hartnn

Answer 5

32*27 = 864m^3 is correct answer.

Answer 6

how did you check it ?

Answer 7

I just redid the problem again to make sure, are you sure that 864 is correct? I'm so confused

Answer 8

You were correct, thank you so much for helping me

Answer 9

1/27 = 32/V
gives V = 27*32 =864

and welcome ^_^