Exercise 48 Page 838

Use the formula for the volume of the prism.

Practice makes perfect

We are given the volume of a prism V = 1380 cm^3, which can be expressed using the following formula. V=Bh We know that the prism's base is a right triangle with legs measuring a=8cm and b=15cm. Its area can be calculated using the following formula. \begin{gathered} B = \dfrac{1}{2}ab \end{gathered} Let's calculate the area of the base.

$B = \dfrac{1}{2}ab$

SubstituteII

\SubstituteII{a}{8}{b}{15}

$B = \dfrac{1}{2} (\col{8})(\colII{15})$

Multiply

\Multiply

$B = 60$

We can know substitute the values $V=1380$ and $B=60$ into the formula and solve for $h.$

$V=Bh$

SubstituteII

\SubstituteII{V}{1380}{B}{60}

$\col{1380}=(\colII{60})h$