Question

A triangular prism has a volume of 5 m3. If each dimension of the prism is tripled, what is the new volume of the prism?

45 m3

15 m3

135 m3

405 m3

Answer 1

volume is proportional to the side cubed

if sides are increased by three times,
so, volume would increase by (3^3) =?

Answer 2

Volume for triangular prism's should be V=1/2 * bhl=5. b= base length, h= height, l= length between 2 triangles. for the new volume, Lets say A. A=1/2 * (3b)(3h)(3l)=(1/2)bhl(3^3)=5*27=135. so i think the answer would be 13.

Answer 3

@glitterMayhem
5*27 = 135m^3

Answer 4

I don't understand this one bit -_-

Answer 5

scaling a geometrical figure by "3" will
1) increase area by 3*3 = 9
2) increase volume by 3*3*3 = 27

in general, if a figure is scaled by some number "a", then
1) area is scaled by = a*a
2) volume is scaled by = a*a*a

Answer 6

in the problem, the sides are tripled, that means, our prism is scaled by 3
so, the volume would scale by 3*3*3 = 27

so, the new volume is 27 times what it was before
= 27 * 5 = 135m^3

Answer 7

kapeesh?