Volume of a quadrangular pyramid=(1/3)bh
b=base
h=height
b=area of the base=area of a square=8.4 ft * 8.4 ft=70.56 ft²
Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²
data:
hypotenuse=9.6 ft
leg₁=height=h
leg₂=8.4 ft /2=4.2 ft
(9.6 ft)²= h² + (4.2 ft)²
92.16 ft²=h²+17.64 ft²
h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.
Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³
Answer: ≈202.3 ft³
Answer:
Jeff went over by 53.33 grams or 
grams.
Step-by-step explanation:
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.
He added 
of a cup of vanilla powder to the flour.
So, he added a mass of 
grams of vanilla.
As the recipe says, it needs 32 grams of vanilla so Jeff went over by 
grams.
Jeff went over by 53.33 grams or grams.
T=the amount of shirts
12t-20-8t=100
12t-8t=120
4t=120
t=30
So they must sell at least 30 shirts to make $100.
