The slope is 0 and the y-intercept is (0,18)
If 2/5 of the tree is above the building, the other 3/5 must be down next to the building.
3/5(tree) = 9m
Multiply each side by 5/3 :
tree = (5/3) (9) = <u>15 meters</u>
Volume = 336,78 ft³
Surface Area = 367,04 ft²
Note :
l = long
w = wide
h = height
d = diameter
r = radius
V = Volume
SA = Surface Area
Known :
Rectangular prism :
l = 7 ft
w = 4 ft
h = 9 ft
Cylinder :
d = 6 ft
r = ½ d = ½ × 6 = 3 ft
h = 3 ft
Asked :
• V = ...?
• SA = ...?
Answer :
V = V rectangular prism + V cylinder
= (l × w × h) + (πr²t)
= (7 × 4 × 9) + (3,14 × 3² × 3)
= 252 + 84,78
= <u>3</u><u>3</u><u>6</u><u>,</u><u>7</u><u>8</u><u> </u><u>ft</u><u>³</u>
SA = SA rectangular prism + SA cylinder
= (2 (lw + lh + wh)) + (2πr (r + h))
= (2 (7×4 + 7×9 + 4×9)) + (2 × 3,14 × 3 (3 + 3))
= (2 (28 + 63 + 36)) + (18,84 × 6)
= (2 × 127) + 113,04
= 254 + 113,04
= <u>367,04 ft²</u>
