Answer:
2916 square inches
Step-by-step explanation:
Surface area of rectangular prism:
Here, area of the top of the prism is not included.
l = 24 in ; b = 20 in ; h = 16 in
Surface area = lb + 2bh + 2lh
= 24 * 20 + 2*20*16 + 2*24 *16
= 480 + 640 + 768
= 1888 sqaure inches
Surface area of triangular prism:
length = 24 in ; a = b = 16 in ; base = 20 in and height = 13 in
[tex]\sf \text{Base area=$2*\dfrac{1}{2}*base *height = base *height$}[/tex]
= 20 * 13
= 260 square inches
Surface area = length*(a +b) + base area
= 24*(16+16) + 260
= 24 * 32 + 260
= 768 + 260
= 1028 square inches
Surface area of composite figure = 1888 + 1028
= 2916 square inches
