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

PLEAASE HELP ! thanks <3

Answer 2

Let a,b,c be the lengths of the sides of the rectangular prism. Then we have:
\[V_0=abc\]
Increasing each by 10% we have:
\[V_1=(1.1a)(1.1b)(1.1c)=1.1^3(abc)\]
Using the ratio:
\[\frac{V_1}{V_0}=\frac{1.1^3(abc)}{abc}=1.1^3=1.331\]
Multiplying the ratio by 100 to get the percentage, we have
\[\% = 1.331 * 100\% = 133.1\%\]

Answer 3

so it is b ?

Answer 4

Yes.

Answer 5

thanks so muchh

Answer 6

No problem!