1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
Answer:
50,076 square inches
Step-by-step explanation:
Answer: Answer:
length= 53.22
width= 17.74
Step-by-step explanation:
Assuming the tank is a rectangular prism, then the formula for its volume will be:
volume= height* length * width
v= h * l * w
The length is equal to 3 times width, to put into the equation it will be:
l= 3w
We know that volume is 315 cubic feet and height is 3 feet, if you substitute all value into the equation we can find out the width.
v= h * l * w
315= 3 * l * w
945 = 3w * w
3w^2 = 945
w^2= 315
w= 17.74
Then we can find out length
l= 3 * w
l= 3* 17.74= 53.22
Step-by-step explanation:
Use the interior angle theorem
(7-2)180 = 900
900 / 7 = roughly 128.6
your answer is C
Answer: 67 degrees
Step-by-step explanation: