Question

Each dimension of a rectangular prism is increased by 10%. What percent of the original volume is the volume of the new prism?

00.1 percent

133.1 percent

121 percent

1 percent

Answer 1

if you know the ratio of lengths of 2 similar prisms, then their volumes will have a ratio of the lengths cubed:

(L1/L2)^3= V1/V2

where L means length and V means volume
for 10% bigger length L + 10% of L= L+ L/10 or L+0.1*L or L(1+0.1) or L*1.1
I would find (1.1/L)^3 divided by (1/L)^3
the L^3 parts will cancel, so the fraction is
1.1^3/1^3 or just 1.1^3
change to a percent by multiplying by 100

Answer 2

b

Answer 3

133.1%

Answer 4

thnks