Answer:
C
Step-by-step explanation:
Answer:
<em>The capacity of the cistern is</em> ![1.2231~m^3](https://tex.z-dn.net/?f=1.2231~m%5E3)
<em>The volume of iron used is</em> ![0.0891~m^3](https://tex.z-dn.net/?f=0.0891~m%5E3)
Step-by-step explanation:
<u>Volume</u>
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
![V_e=1.35*1.08*0.90=1.3122~m^3](https://tex.z-dn.net/?f=V_e%3D1.35%2A1.08%2A0.90%3D1.3122~m%5E3)
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
![V_i=1.325*1.055*0.875](https://tex.z-dn.net/?f=V_i%3D1.325%2A1.055%2A0.875)
![V_i=1.2231~m^3](https://tex.z-dn.net/?f=V_i%3D1.2231~m%5E3)
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
![V_{iron}=1.3122~m^3-1.2231~m^3](https://tex.z-dn.net/?f=V_%7Biron%7D%3D1.3122~m%5E3-1.2231~m%5E3)
![V_{iron}=0.0891~m^3=89.1~lt](https://tex.z-dn.net/?f=V_%7Biron%7D%3D0.0891~m%5E3%3D89.1~lt)
The volume of iron used is ![0.0891~m^3](https://tex.z-dn.net/?f=0.0891~m%5E3)
Answer:-5
Step-by-step explanation:
You need to distribute on both sides so u get
9c-15=20-2c
Move variable to left side and change the sign
-9c+2c-15=20
Move constant to right side and change the sign
-9c+2c=20+15
Connect like terms
-7c=35
Divide
C=-5
Answer:
66.7 in³
Step-by-step explanation:
Find the surface area
A = 2.3×2.3×2 + 2.3×6.1×2 + 2.3×6.1×2
Answer:
x/12
Step-by-step explanation:
1/4 of a pan of brownies leftover.
=1/4 of x
=1/4*x
=x/4
If Carter and two of his friends shares the leftover=3 people
Each friend will get
x/4÷3
=x/4×1/3
=x/12