Answer:
volume = 381 in³
Step-by-step explanation:
1) find volume of prism
formula: area of base × height of prism
base = triangle
= 1/2 × length × height of triangle
height of prism = 6 in
length = 3 in
height of triangle = 5 in
[tex]( \frac{1}{2} \times 5 \times 3) \times 6[/tex]
[tex]7.5 \times 6[/tex]
[tex]45 \: in {}^{3} [/tex]
2) find volume of cuboid
formula: length × width × height
length = 16 in
width = 7 in
height = 3 in
[tex]l \times w \times h[/tex]
[tex]16 \times 7 \times 3[/tex]
[tex]336 \: in {}^{2} [/tex]
total volume of figure
= volume of prism + volume of cuboid
= 45 in³ + 336 in³
= 381 in³
