Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the formula ( v = bh ) means that the volume of a prism is equal to its…

Question

the formula ( v = bh ) means that the volume of a prism is equal to its base area times its height. solve ( v = bh ) for ( b ). a ( b = v - h ) b ( b = \frac{v}{h} ) c ( b = hv ) d ( b = \frac{h}{v} )

Explanation:

Step1: Isolate B

We have the formula \( V = Bh \). To solve for \( B \), we need to isolate it. Since \( B \) is multiplied by \( h \), we can divide both sides of the equation by \( h \) (assuming \( h
eq 0 \)).

$$ \frac{V}{h}=\frac{Bh}{h} $$

Step2: Simplify

Simplifying the right - hand side, \( \frac{Bh}{h}=B \) (because \( h/h = 1 \) for \( h
eq0 \)). So we get \( B=\frac{V}{h} \).

Answer:

B. \( B=\frac{V}{h} \)