Answer:
C
C
C
D
Step-by-step explanation:
One
LA (Lateral Area) = 2.5 * BA (Base Area)
LA = 2.5 * 20
LA = 50 in^2
But the surface area = Lateral Area + Base
LA = 50
Base = 20
Total Surface Area = 70
Answer C
Two
The hypotenuse of the triangle is sqrt(a^2 + b^2)
a = 12
b = 16
c = ?
c =sqrt(12^2 + 16^2)
c = sqrt(144 + 256)
c = sqrt(400)
c = 20
Volume of rectangular Prism= L*W*H
L = 20
W = 12
H = 16
V = 20 * 12 * 16
V = 3840
C <<<<< answer
Three
V_cone = 1/3 B * H
3 * V_cone = BH
V_cylinder= B * H Equate equals to equals.
V_cylinder =3 * Cone
The cylinder has 3 times the volume of the cone.
V_cylinder = 3 * 12ft^3
V_cylinder = 36 ft^3
Answer C
Four
B = 1/2 * b * h of the triangle
Volume of pyramid = 1/3 * 1/2 * b * h * H where H is the height of the Pyramid.
Volume of Pyramid = 1/6 * b*h * H Now b*h*H are each doubled.
Volume of Pyramid = 1/6 * (2*b)(2*h)(2*H)
Volume of New Pyramid = 1/6 * 8 (b * h * H)
The volume has increased by a factor of 8.
If the smaller pyramid was 9 then the new larger one is 8*9 = 72
D <<<< answer
