Question

NEED HELP ASAP

Answer 1

Answer:

Option C. $1,206\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the solid Eva created is equal to the volume of the triangular prism minus the volume of the rectangular prism notch

step 1

Find the volume of the triangular prism

The volume is equal to

$V=Bh$

where

B is the area of the triangular base

h is the height of the triangular prism

substitute

$V=\frac{1}{2}(12)(12)(18)=1,296\ cm^{3}$

step 2

Find the volume of the rectangular prism notch

The volume is equal to

$V=(5)(1)(18)=90\ cm^{3}$

step 3

Find the volume of the solid Eva created

$1,296\ cm^{3}-90\ cm^{3}=1,206\ cm^{3}$