Exercise 48 Page 838

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. B = 1/2ab Let's calculate the area of the base.

B = 1/2ab

SubstituteII

a= 8, b= 15

B = 1/2 ( 8)( 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

V= 1380, B= 60

1380=( 60)h

DivEqn

.LHS /60.=.RHS /60.

23=h

RearrangeEqn

Rearrange equation

h=23

The height of the prism is 23cm, which corresponds to answer B.