Answer:
1. Volume = 1,323
2. Area = 866.64
Explanation:
Volume of Prism = Area of base×height
First find the volume of the rectangular prism:
Volume of Rectangular Prism= w*h*l = (9)(14)(8) = 1,008
w = width = 14
h = height = 8
l = length = 9
Second find the volume of the triangular prism:
Volume of Triangular Prism= 1/2(b*h*l) = 1/2(5*14*9) = 1/2(630) = 315
b = base = 14
h = height = 5
l = length = 9
Now we just add the two volumes together
1,008 + 315 = 1323
Volume = 1,323
Now for the second figure, it is a capsule, to find the total surface area, we use the formula: A = 4πr² + 2πrh
a = 4 × 3.14 × 6² + 2 × 3.14 × 6 × 11
Multiply 4 and 3.14 to get 12.56
a = 12.56 × 6² + 2 × 3.14 × 6 × 11
Calculate 6 to the power of 2 and get 36
a = 12.56 × 36 + 2 × 3.14 × 6 × 11
Multiply 12.56 and 36 to get 452.16
a = 452.16 + 2 × 3.14 × 6 × 11
Multiply 2 and 3.14 to get 6.28
a = 452.16 + 6.28 × 6 × 11
Multiply 6.28 and 6 to get 37.68
a = 452.16 + 37.68 × 11
Multiply 37.68 and 11 to get 414.48
a = 452.16 + 414.48
Add 452.16 and 414.48 to get 866.64
Area = 866.64