2 Answers

Etja · Answer 1 · 2023-07-20T21:21:37+0000

Answer:

752.5 in³

Explanation:

Volume of composite solid

Rectangular prism:

l = 10 in ; w = 7 in ; h = 8 in

$\boxed{\text{Volume of rectangular prism=l*w*h}}$

= 10 * 7 * 8

= 560 in³

Half cylinder:

Diameter of the cylinder will be equal to the width of the rectangular prism.

r = 7/2 = 3.5 inches ; h = 10 in

$\boxed{\text{Volume of half cylinder =$(1)/(2)\pi r^2h$}}$

$\sf =(1)/(2)*3.14*3.5*3.510\\\\ = 192.5 \ in^3$

Volume of composite figure = 560 - 192.5

= 752.5 in³