Given:
Container in the shape of two rectangular prism.
To find:
The volume of the container.
Solution:
The clear image of the container is attached below.
<u>Larger rectangular prism:</u>
Volume = length × width × height
= 8 × 5 × 10
= 400
Volume of larger rectangular prism = 400 in³
<u>Smaller rectangular prism:</u>
Volume = length × width × height
= 4 × 4 × 5
= 80
Volume of smaller rectangular prism = 80 in³
Volume of container = Volume of larger prism + Volume of smaller prism
= 400 in³ + 80 in³
= 480 in³
The volume of the container is 480 in³.
V(cylinder)=πr² *h
r=8 cm
h=5 cm
V(cylinder)=πr² *h =3.14*8²*5= 1004.8 cm³
Answer : E.
Using cosine law and considering the angle ABC is 89 you can deduce that AC is 6.3
6<6.3
So the largest possible integer is 6