Answer:
Step-by-step explanation:
surface area=area of sides +area of top and bottom
=2(4+5)×8+2×(4×5)
=2[(9×8)+20]
=2[72+20]
=2×92
=184 m²
Answer:
It's answer is 8
Step-by-step explanation:
hypotenuse (h) = 10
base (b) = 6
perpendicular (p) = x = ?
We know by using Pythagoras theorem
p = √ h² - b²
= √ 10² - 6²
= √ 100 - 36
= √ 64
x = 8
Hope it will help : ) ❤
Answer:
10 x 10 x 10 x 10 x 10, 20 x 20 x 10, 30 x 20
Let x be the height of the box and y be the length of one side of the base then:-
V = xy^2 = 108
x = 108/y^2
Surface area = y^2 + 4xy
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy = 2y - 432/y^2 = 0
2y^3 = 432
y^3 = 216
y = 6
Check if this gives a minimum value:-
second derivative = 2 + 864/y^3 which is positive so minimum.
V = xy^2 = 108
36y = 108
y = 3
Answer :- dimensions of the box is 3*6*6 metres
