Answer:
224 cubic inches
Step-by-step explanation:
It's a prism.
The formula of a volume of a prism:
[tex]V=BH[/tex]
B - area of a base
H - height
We have a triangle in the base.
The formula of an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
b - base
h - height
We have b = 4in, h = 7in.
Substitute:
[tex]B=\dfrac{(4)(7)}{2}=\dfrac{28}{2}=14\ in^2[/tex]
Put the value of a base B = 14 in² and the height H = 16 in to the formula of a volume:
[tex]V=(14)(16)=224\ in^3[/tex]
